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426502000 = 24531071993
BaseRepresentation
bin11001011010111…
…110011101110000
31002201112112202101
4121122332131300
51333141031000
6110153230144
713366131031
oct3132763560
91081475671
10426502000
111a98272a1
12baa02354
136a490362
1440902a88
152769ae6a
hex196be770

426502000 has 80 divisors (see below), whose sum is σ = 1041442272. Its totient is φ = 168921600.

The previous prime is 426501931. The next prime is 426502007. The reversal of 426502000 is 205624.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426502007) 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 15 ways as a sum of consecutive naturals, for example, 213004 + ... + 214996.

Almost surely, 2426502000 is an apocalyptic number.

426502000 is a gapful number since it is divisible by the number (40) 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 426502000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520721136).

426502000 is an abundant number, since it is smaller than the sum of its proper divisors (614940272).

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

426502000 is a wasteful number, since it uses less digits than its factorization.

426502000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 426502000 is about 20651.9248497567. The cubic root of 426502000 is about 752.7319623517.

Adding to 426502000 its reverse (205624), we get a palindrome (426707624).

The spelling of 426502000 in words is "four hundred twenty-six million, five hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 107 125 200 214 250 400 428 500 535 856 1000 1070 1712 1993 2000 2140 2675 3986 4280 5350 7972 8560 9965 10700 13375 15944 19930 21400 26750 31888 39860 42800 49825 53500 79720 99650 107000 159440 199300 213251 214000 249125 398600 426502 498250 797200 853004 996500 1066255 1706008 1993000 2132510 3412016 3986000 4265020 5331275 8530040 10662550 17060080 21325100 26656375 42650200 53312750 85300400 106625500 213251000 426502000