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55891104 = 25317231489
BaseRepresentation
bin1101010100110…
…1010010100000
310220011120011220
43111031102200
5103302003404
65313535040
71246031553
oct325152240
9126146156
1055891104
11296048a5
1216874480
13b76b979
1475cc69a
154d904d9
hex354d4a0

55891104 has 96 divisors (see below), whose sum is σ = 162207360. Its totient is φ = 16760832.

The previous prime is 55891061. The next prime is 55891111. The reversal of 55891104 is 40119855.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 36792 + ... + 38280.

It is an arithmetic number, because the mean of its divisors is an integer number (1689660).

Almost surely, 255891104 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 55891104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81103680).

55891104 is an abundant number, since it is smaller than the sum of its proper divisors (106316256).

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

55891104 is a wasteful number, since it uses less digits than its factorization.

55891104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 55891104 is about 7476.0353129182. The cubic root of 55891104 is about 382.3380868818.

It can be divided in two parts, 5589 and 1104, that multiplied together give a square (6170256 = 24842).

The spelling of 55891104 in words is "fifty-five million, eight hundred ninety-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 68 69 92 96 102 136 138 184 204 272 276 368 391 408 544 552 736 782 816 1104 1173 1489 1564 1632 2208 2346 2978 3128 4467 4692 5956 6256 8934 9384 11912 12512 17868 18768 23824 25313 34247 35736 37536 47648 50626 68494 71472 75939 101252 102741 136988 142944 151878 202504 205482 273976 303756 405008 410964 547952 582199 607512 810016 821928 1095904 1164398 1215024 1643856 1746597 2328796 2430048 3287712 3493194 4657592 6986388 9315184 13972776 18630368 27945552 55891104