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55812288 = 2637131317
BaseRepresentation
bin1101010011101…
…0000011000000
310220000120001210
43110322003000
5103241443123
65312130120
71245253020
oct324720300
9126016053
1055812288
1129560664
1216836940
13b741b2c
1475aba80
154d76e93
hex353a0c0

55812288 has 112 divisors (see below), whose sum is σ = 170590464. Its totient is φ = 15774720.

The previous prime is 55812277. The next prime is 55812299. The reversal of 55812288 is 88221855.

It is an interprime number because it is at equal distance from previous prime (55812277) and next prime (55812299).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×558122882 = 6230022983589888, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175906 + ... + 176222.

Almost surely, 255812288 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 55812288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85295232).

55812288 is an abundant number, since it is smaller than the sum of its proper divisors (114778176).

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

55812288 is a wasteful number, since it uses less digits than its factorization.

55812288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 460 counting only the distinct ones).

The product of its digits is 51200, while the sum is 39.

The square root of 55812288 is about 7470.7622101095. The cubic root of 55812288 is about 382.1582816745.

The spelling of 55812288 in words is "fifty-five million, eight hundred twelve thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 131 168 192 224 262 317 336 393 448 524 634 672 786 917 951 1048 1268 1344 1572 1834 1902 2096 2219 2536 2751 3144 3668 3804 4192 4438 5072 5502 6288 6657 7336 7608 8384 8876 10144 11004 12576 13314 14672 15216 17752 20288 22008 25152 26628 29344 30432 35504 41527 44016 53256 58688 60864 71008 83054 88032 106512 124581 142016 166108 176064 213024 249162 290689 332216 426048 498324 581378 664432 872067 996648 1162756 1328864 1744134 1993296 2325512 2657728 3488268 3986592 4651024 6976536 7973184 9302048 13953072 18604096 27906144 55812288