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10058752 = 210111947
BaseRepresentation
bin100110010111…
…110000000000
3200221001000101
4212113300000
510033340002
6555332144
7151332544
oct46276000
920831011
1010058752
115750320
123451054
132112532
14149ba24
15d3a587
hex997c00

10058752 has 88 divisors (see below), whose sum is σ = 23581440. Its totient is φ = 4239360.

The previous prime is 10058693. The next prime is 10058753. The reversal of 10058752 is 25785001.

It is a tau number, because it is divible by the number of its divisors (88).

It is a self number, because there is not a number n which added to its sum of digits gives 10058752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10058753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213993 + ... + 214039.

Almost surely, 210058752 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 10058752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11790720).

10058752 is an abundant number, since it is smaller than the sum of its proper divisors (13522688).

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

10058752 is a wasteful number, since it uses less digits than its factorization.

10058752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 28.

The square root of 10058752 is about 3171.5535625305. The cubic root of 10058752 is about 215.8645698825.

The spelling of 10058752 in words is "ten million, fifty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 47 64 76 88 94 128 152 176 188 209 256 304 352 376 418 512 517 608 704 752 836 893 1024 1034 1216 1408 1504 1672 1786 2068 2432 2816 3008 3344 3572 4136 4864 5632 6016 6688 7144 8272 9728 9823 11264 12032 13376 14288 16544 19456 19646 24064 26752 28576 33088 39292 48128 53504 57152 66176 78584 107008 114304 132352 157168 214016 228608 264704 314336 457216 529408 628672 914432 1257344 2514688 5029376 10058752