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10425152 = 262941137
BaseRepresentation
bin100111110001…
…001101000000
3201121122121202
4213301031000
510132101102
61011240332
7154420013
oct47611500
921548552
1010425152
115980631
1235a90a8
13221023a
14155537a
15dade02
hex9f1340

10425152 has 56 divisors (see below), whose sum is σ = 22082760. Its totient is φ = 4874240.

The previous prime is 10425137. The next prime is 10425161. The reversal of 10425152 is 25152401.

It can be written as a sum of positive squares in 4 ways, for example, as 287296 + 10137856 = 536^2 + 3184^2 .

It is a super-3 number, since 3×104251523 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76028 + ... + 76164.

It is an arithmetic number, because the mean of its divisors is an integer number (394335).

Almost surely, 210425152 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 10425152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11041380).

10425152 is an abundant number, since it is smaller than the sum of its proper divisors (11657608).

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

10425152 is a wasteful number, since it uses less digits than its factorization.

10425152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 10425152 is about 3228.8003964321. The cubic root of 10425152 is about 218.4544010608.

Adding to 10425152 its reverse (25152401), we get a palindrome (35577553).

The spelling of 10425152 in words is "ten million, four hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 41 58 64 82 116 137 164 232 274 328 464 548 656 928 1096 1189 1312 1856 2192 2378 2624 3973 4384 4756 5617 7946 8768 9512 11234 15892 19024 22468 31784 38048 44936 63568 76096 89872 127136 162893 179744 254272 325786 359488 651572 1303144 2606288 5212576 10425152