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5322426000 = 243535691559
BaseRepresentation
bin1001111010011110…
…11100011010010000
3111201221002020212220
410331033130122100
541400020113000
62240050021040
7245615605653
oct47517343220
914657066786
105322426000
112291409481
121046577780
1366a8ac0c8
14386c3189a
152123e51a0
hex13d3dc690

5322426000 has 160 divisors (see below), whose sum is σ = 17200684800. Its totient is φ = 1415910400.

The previous prime is 5322425989. The next prime is 5322426001. The reversal of 5322426000 is 6242235.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5322426001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3413221 + ... + 3414779.

It is an arithmetic number, because the mean of its divisors is an integer number (107504280).

Almost surely, 25322426000 is an apocalyptic number.

5322426000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5322426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8600342400).

5322426000 is an abundant number, since it is smaller than the sum of its proper divisors (11878258800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5322426000 is a wasteful number, since it uses less digits than its factorization.

5322426000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 5322426000 is about 72954.9587074107. The cubic root of 5322426000 is about 1745.9690624320.

Adding to 5322426000 its reverse (6242235), we get a palindrome (5328668235).

The spelling of 5322426000 in words is "five billion, three hundred twenty-two million, four hundred twenty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 569 600 750 1000 1138 1200 1500 1559 1707 2000 2276 2845 3000 3118 3414 4552 4677 5690 6000 6236 6828 7795 8535 9104 9354 11380 12472 13656 14225 15590 17070 18708 22760 23385 24944 27312 28450 31180 34140 37416 38975 42675 45520 46770 56900 62360 68280 71125 74832 77950 85350 93540 113800 116925 124720 136560 142250 155900 170700 187080 194875 213375 227600 233850 284500 311800 341400 374160 389750 426750 467700 569000 584625 623600 682800 779500 853500 887071 935400 1138000 1169250 1559000 1707000 1774142 1870800 2338500 2661213 3118000 3414000 3548284 4435355 4677000 5322426 7096568 8870710 9354000 10644852 13306065 14193136 17741420 21289704 22176775 26612130 35482840 42579408 44353550 53224260 66530325 70965680 88707100 106448520 110883875 133060650 177414200 212897040 221767750 266121300 332651625 354828400 443535500 532242600 665303250 887071000 1064485200 1330606500 1774142000 2661213000 5322426000