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10252404 = 22323743179
BaseRepresentation
bin100111000111…
…000001110100
3201021212122200
4213013001310
510111034104
61003424500
7153100251
oct47070164
921255580
1010252404
115872868
123525130
13217c716
14150c428
15d77b39
hex9c7074

10252404 has 72 divisors (see below), whose sum is σ = 27387360. Its totient is φ = 3229632.

The previous prime is 10252387. The next prime is 10252423. The reversal of 10252404 is 40425201.

10252404 is a `hidden beast` number, since 10 + 252 + 404 = 666.

It is a super-2 number, since 2×102524042 = 210223575558432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 57187 + ... + 57365.

It is an arithmetic number, because the mean of its divisors is an integer number (380380).

Almost surely, 210252404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10252404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13693680).

10252404 is an abundant number, since it is smaller than the sum of its proper divisors (17134956).

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

10252404 is a wasteful number, since it uses less digits than its factorization.

10252404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 10252404 is about 3201.9375384289. The cubic root of 10252404 is about 217.2410552918.

Adding to 10252404 its reverse (40425201), we get a palindrome (50677605).

The spelling of 10252404 in words is "ten million, two hundred fifty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 37 43 74 86 111 129 148 172 179 222 258 333 358 387 444 516 537 666 716 774 1074 1332 1548 1591 1611 2148 3182 3222 4773 6364 6444 6623 7697 9546 13246 14319 15394 19092 19869 23091 26492 28638 30788 39738 46182 57276 59607 69273 79476 92364 119214 138546 238428 277092 284789 569578 854367 1139156 1708734 2563101 3417468 5126202 10252404