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55889184 = 25313192357
BaseRepresentation
bin1101010100110…
…0110100100000
310220011110112210
43111030310200
5103301423214
65313522120
71246023141
oct325146440
9126143483
1055889184
112960340a
1216873340
13b76ab30
1475cbac8
154d8eb59
hex354cd20

55889184 has 96 divisors (see below), whose sum is σ = 166380480. Its totient is φ = 16284672.

The previous prime is 55889179. The next prime is 55889219. The reversal of 55889184 is 48198855.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 22534 + ... + 24890.

It is an arithmetic number, because the mean of its divisors is an integer number (1733130).

Almost surely, 255889184 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 55889184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83190240).

55889184 is an abundant number, since it is smaller than the sum of its proper divisors (110491296).

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

55889184 is a wasteful number, since it uses less digits than its factorization.

55889184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402 (or 2394 counting only the distinct ones).

The product of its digits is 460800, while the sum is 48.

The square root of 55889184 is about 7475.9069015070. The cubic root of 55889184 is about 382.3337087400. Note that the first 3 decimals are identical.

The spelling of 55889184 in words is "fifty-five million, eight hundred eighty-nine thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 416 456 494 608 624 741 912 988 1248 1482 1824 1976 2357 2964 3952 4714 5928 7071 7904 9428 11856 14142 18856 23712 28284 30641 37712 44783 56568 61282 75424 89566 91923 113136 122564 134349 179132 183846 226272 245128 268698 358264 367692 490256 537396 582179 716528 735384 980512 1074792 1164358 1433056 1470768 1746537 2149584 2328716 2941536 3493074 4299168 4657432 6986148 9314864 13972296 18629728 27944592 55889184