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55928704 = 2713192961
BaseRepresentation
bin1101010101011…
…0011110000000
310220020110202111
43111112132000
5103304204304
65314425104
71246246306
oct325263600
9126213674
1055928704
1129630077
1216892194
13b782b10
1475dc276
154d9b704
hex3556780

55928704 has 128 divisors (see below), whose sum is σ = 132804000. Its totient is φ = 23224320.

The previous prime is 55928701. The next prime is 55928707. The reversal of 55928704 is 40782955.

It is an interprime number because it is at equal distance from previous prime (55928701) and next prime (55928707).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×559287042 = 6256039862239232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55928701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 916834 + ... + 916894.

Almost surely, 255928704 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 55928704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66402000).

55928704 is an abundant number, since it is smaller than the sum of its proper divisors (76875296).

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

55928704 is a wasteful number, since it uses less digits than its factorization.

55928704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 55928704 is about 7478.5495919998. The cubic root of 55928704 is about 382.4238052908.

The spelling of 55928704 in words is "fifty-five million, nine hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 19 26 29 32 38 52 58 61 64 76 104 116 122 128 152 208 232 244 247 304 377 416 464 488 494 551 608 754 793 832 928 976 988 1102 1159 1216 1508 1586 1664 1769 1856 1952 1976 2204 2318 2432 3016 3172 3538 3712 3904 3952 4408 4636 6032 6344 7076 7163 7808 7904 8816 9272 12064 12688 14152 14326 15067 15808 17632 18544 22997 24128 25376 28304 28652 30134 31616 33611 35264 37088 45994 48256 50752 56608 57304 60268 67222 70528 74176 91988 101504 113216 114608 120536 134444 148352 183976 226432 229216 241072 268888 367952 436943 458432 482144 537776 735904 873886 916864 964288 1075552 1471808 1747772 1928576 2151104 2943616 3495544 4302208 6991088 13982176 27964352 55928704