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2421004432 = 247118572293
BaseRepresentation
bin1001000001001101…
…1001100010010000
320020201112202201211
42100103121202100
514424234120212
61040122305504
7113665124650
oct22023314220
96221482654
102421004432
111032659510
12576958294
132c7761302
1418d76a360
15e28249a7
hex904d9890

2421004432 has 80 divisors (see below), whose sum is σ = 5857517952. Its totient is φ = 941736960.

The previous prime is 2421004423. The next prime is 2421004463. The reversal of 2421004432 is 2344001242.

It is a happy number.

It is a super-2 number, since 2×24210044322 = 11722524919527285248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1054678 + ... + 1056970.

Almost surely, 22421004432 is an apocalyptic number.

2421004432 is a gapful number since it is divisible by the number (22) 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 2421004432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928758976).

2421004432 is an abundant number, since it is smaller than the sum of its proper divisors (3436513520).

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

2421004432 is a wasteful number, since it uses less digits than its factorization.

2421004432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2421004432 is about 49203.7034378511. The cubic root of 2421004432 is about 1342.7604104672.

Adding to 2421004432 its reverse (2344001242), we get a palindrome (4765005674).

The spelling of 2421004432 in words is "two billion, four hundred twenty-one million, four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 857 1232 1714 2293 3428 4586 5999 6856 9172 9427 11998 13712 16051 18344 18854 23996 25223 32102 36688 37708 47992 50446 64204 65989 75416 95984 100892 128408 131978 150832 176561 201784 256816 263956 353122 403568 527912 706244 1055824 1412488 1965101 2824976 3930202 7860404 13755707 15720808 21616111 27511414 31441616 43232222 55022828 86464444 110045656 151312777 172928888 220091312 302625554 345857776 605251108 1210502216 2421004432