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104857504 = 2519229313
BaseRepresentation
bin1100011111111…
…11111110100000
321022022022110021
412033333332200
5203320420004
614223243224
72412163003
oct617777640
9238268407
10104857504
1154209aa4
122b149514
131895477b
14dcd753a
159313d54
hex63fffa0

104857504 has 72 divisors (see below), whose sum is σ = 226108260. Its totient is φ = 47803392.

The previous prime is 104857477. The next prime is 104857507. The reversal of 104857504 is 405758401.

It can be written as a sum of positive squares in 2 ways, for example, as 93161104 + 11696400 = 9652^2 + 3420^2 .

It is a super-2 number, since 2×1048575042 = 21990192290220032, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104857504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104857507) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 334852 + ... + 335164.

Almost surely, 2104857504 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 104857504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113054130).

104857504 is an abundant number, since it is smaller than the sum of its proper divisors (121250756).

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

104857504 is a wasteful number, since it uses less digits than its factorization.

104857504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 34.

The square root of 104857504 is about 10239.9953124989. The cubic root of 104857504 is about 471.5558879184. Note that the first 3 decimals are identical.

The spelling of 104857504 in words is "one hundred four million, eight hundred fifty-seven thousand, five hundred four".

Divisors: 1 2 4 8 16 19 29 32 38 58 76 116 152 232 304 313 361 464 551 608 626 722 928 1102 1252 1444 2204 2504 2888 4408 5008 5776 5947 8816 9077 10016 10469 11552 11894 17632 18154 20938 23788 36308 41876 47576 72616 83752 95152 112993 145232 167504 172463 190304 225986 290464 335008 344926 451972 689852 903944 1379704 1807888 2759408 3276797 3615776 5518816 6553594 13107188 26214376 52428752 104857504