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55336960 = 21357193
BaseRepresentation
bin1101001100011…
…0000000000000
310212010102001001
43103012000000
5103131240320
65254021344
71241233150
oct323060000
9125112031
1055336960
1129266528
1216647854
13b606683
1474c6760
154cd120a
hex34c6000

55336960 has 112 divisors (see below), whose sum is σ = 152558496. Its totient is φ = 18874368.

The previous prime is 55336933. The next prime is 55336979. The reversal of 55336960 is 6963355.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286624 + ... + 286816.

Almost surely, 255336960 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 55336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76279248).

55336960 is an abundant number, since it is smaller than the sum of its proper divisors (97221536).

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

55336960 is an equidigital number, since it uses as much as digits as its factorization.

55336960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 37.

The square root of 55336960 is about 7438.8816363752. The cubic root of 55336960 is about 381.0702974657.

The spelling of 55336960 in words is "fifty-five million, three hundred thirty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 193 224 256 280 320 386 448 512 560 640 772 896 965 1024 1120 1280 1351 1544 1792 1930 2048 2240 2560 2702 3088 3584 3860 4096 4480 5120 5404 6176 6755 7168 7720 8192 8960 10240 10808 12352 13510 14336 15440 17920 20480 21616 24704 27020 28672 30880 35840 40960 43232 49408 54040 57344 61760 71680 86464 98816 108080 123520 143360 172928 197632 216160 247040 286720 345856 395264 432320 494080 691712 790528 864640 988160 1383424 1581056 1729280 1976320 2766848 3458560 3952640 5533696 6917120 7905280 11067392 13834240 27668480 55336960