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55332560 = 2451959617
BaseRepresentation
bin1101001100010…
…0111011010000
310212010012000002
43103010323100
5103131120220
65253545132
71241214263
oct323047320
9125105002
1055332560
1129263198
12166451a8
13b60467a
1474c4cda
154ccec75
hex34c4ed0

55332560 has 80 divisors (see below), whose sum is σ = 137937600. Its totient is φ = 20579328.

The previous prime is 55332559. The next prime is 55332577. The reversal of 55332560 is 6523355.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 89372 + ... + 89988.

It is an arithmetic number, because the mean of its divisors is an integer number (1724220).

Almost surely, 255332560 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 55332560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68968800).

55332560 is an abundant number, since it is smaller than the sum of its proper divisors (82605040).

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

55332560 is a wasteful number, since it uses less digits than its factorization.

55332560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 29.

The square root of 55332560 is about 7438.5858871159. The cubic root of 55332560 is about 381.0601972015.

The spelling of 55332560 in words is "fifty-five million, three hundred thirty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 59 76 80 95 118 152 190 236 295 304 380 472 590 617 760 944 1121 1180 1234 1520 2242 2360 2468 3085 4484 4720 4936 5605 6170 8968 9872 11210 11723 12340 17936 22420 23446 24680 36403 44840 46892 49360 58615 72806 89680 93784 117230 145612 182015 187568 234460 291224 364030 468920 582448 691657 728060 937840 1383314 1456120 2766628 2912240 3458285 5533256 6916570 11066512 13833140 27666280 55332560