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55118016 = 2633167191
BaseRepresentation
bin1101001001000…
…0100011000000
310211201021201000
43102100203000
5103102234031
65245212000
71236331632
oct322204300
9124637630
1055118016
1129126a88
1216561000
13b55ab15
14746aa52
154c8b3e6
hex34908c0

55118016 has 112 divisors (see below), whose sum is σ = 163860480. Its totient is φ = 18167040.

The previous prime is 55117999. The next prime is 55118047. The reversal of 55118016 is 61081155.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 288481 + ... + 288671.

It is an arithmetic number, because the mean of its divisors is an integer number (1463040).

Almost surely, 255118016 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 55118016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81930240).

55118016 is an abundant number, since it is smaller than the sum of its proper divisors (108742464).

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

55118016 is a wasteful number, since it uses less digits than its factorization.

55118016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 55118016 is about 7424.1508605362. The cubic root of 55118016 is about 380.5670573547.

The spelling of 55118016 in words is "fifty-five million, one hundred eighteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 167 191 192 216 288 334 382 432 501 573 576 668 764 864 1002 1146 1336 1503 1528 1719 1728 2004 2292 2672 3006 3056 3438 4008 4509 4584 5157 5344 6012 6112 6876 8016 9018 9168 10314 10688 12024 12224 13752 16032 18036 18336 20628 24048 27504 31897 32064 36072 36672 41256 48096 55008 63794 72144 82512 95691 96192 110016 127588 144288 165024 191382 255176 287073 288576 330048 382764 510352 574146 765528 861219 1020704 1148292 1531056 1722438 2041408 2296584 3062112 3444876 4593168 6124224 6889752 9186336 13779504 18372672 27559008 55118016