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10825464 = 23313217157
BaseRepresentation
bin101001010010…
…111011111000
3202100222202010
4221102323320
510232403324
61024005520
7161005056
oct51227370
922328663
1010825464
116124371
1237608a0
132320500
14161b1d6
15e3c829
hexa52ef8

10825464 has 96 divisors (see below), whose sum is σ = 31227120. Its totient is φ = 3115008.

The previous prime is 10825457. The next prime is 10825489. The reversal of 10825464 is 46452801.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68874 + ... + 69030.

Almost surely, 210825464 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 10825464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15613560).

10825464 is an abundant number, since it is smaller than the sum of its proper divisors (20401656).

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

10825464 is a wasteful number, since it uses less digits than its factorization.

10825464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 10825464 is about 3290.2072883027. The cubic root of 10825464 is about 221.2154761159.

The spelling of 10825464 in words is "ten million, eight hundred twenty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 157 169 204 221 312 314 338 408 442 471 507 628 663 676 884 942 1014 1256 1326 1352 1768 1884 2028 2041 2652 2669 2873 3768 4056 4082 5304 5338 5746 6123 8007 8164 8619 10676 11492 12246 16014 16328 17238 21352 22984 24492 26533 32028 34476 34697 48984 53066 64056 68952 69394 79599 104091 106132 138788 159198 208182 212264 277576 318396 416364 451061 636792 832728 902122 1353183 1804244 2706366 3608488 5412732 10825464