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55316628 = 223337109127
BaseRepresentation
bin1101001100000…
…1000010010100
310212002101011000
43103001002110
5103130113003
65253343300
71241116653
oct323010224
9125071130
1055316628
1129252224
1216637b30
13b5ca343
1474bd19a
154cca1a3
hex34c1094

55316628 has 96 divisors (see below), whose sum is σ = 149811200. Its totient is φ = 17635968.

The previous prime is 55316609. The next prime is 55316663. The reversal of 55316628 is 82661355.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 55316592 and 55316601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 435501 + ... + 435627.

Almost surely, 255316628 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 55316628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74905600).

55316628 is an abundant number, since it is smaller than the sum of its proper divisors (94494572).

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

55316628 is a wasteful number, since it uses less digits than its factorization.

55316628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 278 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 55316628 is about 7437.5149075481. The cubic root of 55316628 is about 381.0236205828.

The spelling of 55316628 in words is "fifty-five million, three hundred sixteen thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 109 111 127 148 218 222 254 327 333 381 436 444 508 654 666 762 981 999 1143 1308 1332 1524 1962 1998 2286 2943 3429 3924 3996 4033 4572 4699 5886 6858 8066 9398 11772 12099 13716 13843 14097 16132 18796 24198 27686 28194 36297 41529 42291 48396 55372 56388 72594 83058 84582 108891 124587 126873 145188 166116 169164 217782 249174 253746 373761 435564 498348 507492 512191 747522 1024382 1495044 1536573 2048764 3073146 4609719 6146292 9219438 13829157 18438876 27658314 55316628