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55807872 = 2731783103
BaseRepresentation
bin1101010011100…
…0111110000000
310220000100000020
43110320332000
5103241322442
65312053440
71245234111
oct324707600
9126010006
1055807872
112955830a
1216834280
13b73cb13
1475aa208
154d759ec
hex3538f80

55807872 has 128 divisors (see below), whose sum is σ = 160392960. Its totient is φ = 17129472.

The previous prime is 55807841. The next prime is 55807879. The reversal of 55807872 is 27870855.

It is a happy number.

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

It is a super-2 number, since 2×558078722 = 6229037154336768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55807879) 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, 541773 + ... + 541875.

It is an arithmetic number, because the mean of its divisors is an integer number (1253070).

Almost surely, 255807872 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 55807872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80196480).

55807872 is an abundant number, since it is smaller than the sum of its proper divisors (104585088).

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

55807872 is a wasteful number, since it uses less digits than its factorization.

55807872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 42.

The square root of 55807872 is about 7470.4666520908. The cubic root of 55807872 is about 382.1482023201.

The spelling of 55807872 in words is "fifty-five million, eight hundred seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 83 96 102 103 128 136 166 192 204 206 249 272 309 332 384 408 412 498 544 618 664 816 824 996 1088 1236 1328 1411 1632 1648 1751 1992 2176 2472 2656 2822 3264 3296 3502 3984 4233 4944 5253 5312 5644 6528 6592 7004 7968 8466 8549 9888 10506 10624 11288 13184 14008 15936 16932 17098 19776 21012 22576 25647 28016 31872 33864 34196 39552 42024 45152 51294 56032 67728 68392 84048 90304 102588 112064 135456 136784 145333 168096 180608 205176 224128 270912 273568 290666 336192 410352 435999 541824 547136 581332 672384 820704 871998 1094272 1162664 1641408 1743996 2325328 3282816 3487992 4650656 6975984 9301312 13951968 18602624 27903936 55807872