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55552896 = 27327832
BaseRepresentation
bin1101001111101…
…0101110000000
310212112101020200
43103322232000
5103210143041
65302405200
71243122540
oct323725600
9125471220
1055552896
11293a3793
1216730800
13b680a49
147541320
154d251b6
hex34fab80

55552896 has 144 divisors (see below), whose sum is σ = 184923960. Its totient is φ = 15681024.

The previous prime is 55552877. The next prime is 55552901. The reversal of 55552896 is 69825555.

55552896 is a `hidden beast` number, since 5 + 5 + 552 + 8 + 96 = 666.

55552896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×555528962 = 6172248507973632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 669271 + ... + 669353.

Almost surely, 255552896 is an apocalyptic number.

55552896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55552896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92461980).

55552896 is an abundant number, since it is smaller than the sum of its proper divisors (129371064).

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

55552896 is an equidigital number, since it uses as much as digits as its factorization.

55552896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 95 counting only the distinct ones).

The product of its digits is 540000, while the sum is 45.

The square root of 55552896 is about 7453.3815144537. The cubic root of 55552896 is about 381.5653252250.

The spelling of 55552896 in words is "fifty-five million, five hundred fifty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 83 84 96 112 126 128 144 166 168 192 224 249 252 288 332 336 384 448 498 504 576 581 664 672 747 896 996 1008 1152 1162 1328 1344 1494 1743 1992 2016 2324 2656 2688 2988 3486 3984 4032 4648 5229 5312 5976 6889 6972 7968 8064 9296 10458 10624 11952 13778 13944 15936 18592 20667 20916 23904 27556 27888 31872 37184 41334 41832 47808 48223 55112 55776 62001 74368 82668 83664 95616 96446 110224 111552 124002 144669 165336 167328 192892 220448 223104 248004 289338 330672 334656 385784 434007 440896 496008 578676 661344 669312 771568 868014 881792 992016 1157352 1322688 1543136 1736028 1984032 2314704 2645376 3086272 3472056 3968064 4629408 6172544 6944112 7936128 9258816 13888224 18517632 27776448 55552896