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102426525 = 345250581
BaseRepresentation
bin1100001101011…
…10011110011101
321010201210210000
412012232132131
5202210122100
614055204513
72352416415
oct606563635
9233653700
10102426525
11528a9623
122a376739
13182b3116
14d863645
158ed3900
hex61ae79d

102426525 has 30 divisors (see below), whose sum is σ = 189733082. Its totient is φ = 54626400.

The previous prime is 102426523. The next prime is 102426563. The reversal of 102426525 is 525624201.

102426525 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 2 + 652 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 11758041 + 90668484 = 3429^2 + 9522^2 .

It is not a de Polignac number, because 102426525 - 21 = 102426523 is a prime.

It is a super-3 number, since 3×1024265253 (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102426523) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 23266 + ... + 27315.

Almost surely, 2102426525 is an apocalyptic number.

102426525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102426525 is a deficient number, since it is larger than the sum of its proper divisors (87306557).

102426525 is an equidigital number, since it uses as much as digits as its factorization.

102426525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50603 (or 50589 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 102426525 is about 10120.5990435349. The cubic root of 102426525 is about 467.8832302363.

The spelling of 102426525 in words is "one hundred two million, four hundred twenty-six thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 50581 151743 252905 455229 758715 1264525 1365687 2276145 3793575 4097061 6828435 11380725 20485305 34142175 102426525