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55895616 = 263374621
BaseRepresentation
bin1101010100111…
…0011001000000
310220011210101000
43111032121000
5103302124431
65314012000
71246050660
oct325163100
9126153330
1055895616
1129608227
1216877000
13b770a3a
1475d01a0
154d919e6
hex354e640

55895616 has 112 divisors (see below), whose sum is σ = 187838080. Its totient is φ = 15966720.

The previous prime is 55895569. The next prime is 55895617. The reversal of 55895616 is 61659855.

It is a happy number.

55895616 is a `hidden beast` number, since 5 + 5 + 89 + 561 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55895617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9786 + ... + 14406.

Almost surely, 255895616 is an apocalyptic number.

55895616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55895616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93919040).

55895616 is an abundant number, since it is smaller than the sum of its proper divisors (131942464).

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

55895616 is a wasteful number, since it uses less digits than its factorization.

55895616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4649 (or 4633 counting only the distinct ones).

The product of its digits is 324000, while the sum is 45.

The square root of 55895616 is about 7476.3370710529. The cubic root of 55895616 is about 382.3483751203.

The spelling of 55895616 in words is "fifty-five million, eight hundred ninety-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 4621 6048 9242 12096 13863 18484 27726 32347 36968 41589 55452 64694 73936 83178 97041 110904 124767 129388 147872 166356 194082 221808 249534 258776 291123 295744 332712 388164 443616 499068 517552 582246 665424 776328 873369 887232 998136 1035104 1164492 1330848 1552656 1746738 1996272 2070208 2328984 2661696 3105312 3493476 3992544 4657968 6210624 6986952 7985088 9315936 13973904 18631872 27947808 55895616