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102500052 = 223231013677
BaseRepresentation
bin1100001110000…
…00011011010100
321010212112122020
412013000123110
5202220000202
614100533140
72353143654
oct607003324
9233775566
10102500052
1152949896
122a3b11b0
131830a725
14d882364
158eea5bc
hex61c06d4

102500052 has 48 divisors (see below), whose sum is σ = 252104832. Its totient is φ = 32348800.

The previous prime is 102500023. The next prime is 102500077. The reversal of 102500052 is 250005201.

It is a congruent number.

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, 26038 + ... + 29714.

It is an arithmetic number, because the mean of its divisors is an integer number (5252184).

Almost surely, 2102500052 is an apocalyptic number.

102500052 is a gapful number since it is divisible by the number (12) 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 102500052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126052416).

102500052 is an abundant number, since it is smaller than the sum of its proper divisors (149604780).

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

102500052 is a wasteful number, since it uses less digits than its factorization.

102500052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808 (or 3806 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 102500052 is about 10124.2309337549. The cubic root of 102500052 is about 467.9951602977.

Adding to 102500052 its reverse (250005201), we get a palindrome (352505253).

The spelling of 102500052 in words is "one hundred two million, five hundred thousand, fifty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 101 138 202 276 303 404 606 1212 2323 3677 4646 6969 7354 9292 11031 13938 14708 22062 27876 44124 84571 169142 253713 338284 371377 507426 742754 1014852 1114131 1485508 2228262 4456524 8541671 17083342 25625013 34166684 51250026 102500052