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55944864 = 253373887
BaseRepresentation
bin1101010101101…
…0011010100000
310220021021221000
43111122122200
5103310213424
65315032000
71246344363
oct325323240
9126237830
1055944864
1129641228
121689b600
13b78a291
1476040da
154da13c9
hex355a6a0

55944864 has 96 divisors (see below), whose sum is σ = 165594240. Its totient is φ = 18372096.

The previous prime is 55944853. The next prime is 55944871. The reversal of 55944864 is 46844955.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62629 + ... + 63515.

It is an arithmetic number, because the mean of its divisors is an integer number (1724940).

Almost surely, 255944864 is an apocalyptic number.

55944864 is a gapful number since it is divisible by the number (54) 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 55944864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82797120).

55944864 is an abundant number, since it is smaller than the sum of its proper divisors (109649376).

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

55944864 is a wasteful number, since it uses less digits than its factorization.

55944864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 965 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 55944864 is about 7479.6299373699. The cubic root of 55944864 is about 382.4606341648.

Subtracting from 55944864 its reverse (46844955), we obtain a palindrome (9099909).

The spelling of 55944864 in words is "fifty-five million, nine hundred forty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 73 96 108 144 146 216 219 288 292 432 438 584 657 864 876 887 1168 1314 1752 1774 1971 2336 2628 2661 3504 3548 3942 5256 5322 7008 7096 7884 7983 10512 10644 14192 15768 15966 21024 21288 23949 28384 31536 31932 42576 47898 63072 63864 64751 85152 95796 127728 129502 191592 194253 255456 259004 383184 388506 518008 582759 766368 777012 1036016 1165518 1554024 1748277 2072032 2331036 3108048 3496554 4662072 6216096 6993108 9324144 13986216 18648288 27972432 55944864