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55516288 = 271731823
BaseRepresentation
bin1101001111000…
…1110010000000
310212110112000211
43103301302000
5103203010123
65301523504
71242611032
oct323616200
9125415024
1055516288
1129379233
1216713594
13b66a199
147531c52
154d1940d
hex34f1c80

55516288 has 64 divisors (see below), whose sum is σ = 121029120. Its totient is φ = 25251840.

The previous prime is 55516277. The next prime is 55516291. The reversal of 55516288 is 88261555.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 55516288.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 67045 + ... + 67867.

It is an arithmetic number, because the mean of its divisors is an integer number (1891080).

Almost surely, 255516288 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 55516288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60514560).

55516288 is an abundant number, since it is smaller than the sum of its proper divisors (65512832).

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

55516288 is a wasteful number, since it uses less digits than its factorization.

55516288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 873 counting only the distinct ones).

The product of its digits is 96000, while the sum is 40.

The square root of 55516288 is about 7450.9253116643. The cubic root of 55516288 is about 381.4814927349.

The spelling of 55516288 in words is "fifty-five million, five hundred sixteen thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 128 136 248 272 496 527 544 823 992 1054 1088 1646 1984 2108 2176 3292 3968 4216 6584 8432 13168 13991 16864 25513 26336 27982 33728 51026 52672 55964 67456 102052 105344 111928 204104 223856 408208 433721 447712 816416 867442 895424 1632832 1734884 1790848 3265664 3469768 6939536 13879072 27758144 55516288