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55439616 = 283371951
BaseRepresentation
bin1101001101111…
…1000100000000
310212022121212010
43103133010000
5103143031431
65300132520
71242141351
oct323370400
9125277763
1055439616
1129326671
1216697140
13b64130b
147511d28
154d01846
hex34df100

55439616 has 72 divisors (see below), whose sum is σ = 151615744. Its totient is φ = 17971200.

The previous prime is 55439603. The next prime is 55439623. The reversal of 55439616 is 61693455.

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, 27441 + ... + 29391.

Almost surely, 255439616 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 55439616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75807872).

55439616 is an abundant number, since it is smaller than the sum of its proper divisors (96176128).

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

55439616 is a wasteful number, since it uses less digits than its factorization.

55439616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 1993 counting only the distinct ones).

The product of its digits is 97200, while the sum is 39.

The square root of 55439616 is about 7445.7784012150. The cubic root of 55439616 is about 381.3057940023.

The spelling of 55439616 in words is "fifty-five million, four hundred thirty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 592 768 888 1184 1776 1951 2368 3552 3902 4736 5853 7104 7804 9472 11706 14208 15608 23412 28416 31216 46824 62432 72187 93648 124864 144374 187296 216561 249728 288748 374592 433122 499456 577496 749184 866244 1154992 1498368 1732488 2309984 3464976 4619968 6929952 9239936 13859904 18479872 27719808 55439616