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56105088 = 2731311239
BaseRepresentation
bin1101011000000…
…1100010000000
310220120102201020
43112001202000
5103330330323
65322305440
71250612454
oct326014200
9126512636
1056105088
1129740646
1216958280
13b8151a0
147646664
154dd3ae3
hex3581880

56105088 has 64 divisors (see below), whose sum is σ = 160507200. Its totient is φ = 17261568.

The previous prime is 56105087. The next prime is 56105131. The reversal of 56105088 is 88050165.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (56105087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 628 + ... + 10611.

It is an arithmetic number, because the mean of its divisors is an integer number (2507925).

Almost surely, 256105088 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 56105088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80253600).

56105088 is an abundant number, since it is smaller than the sum of its proper divisors (104402112).

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

56105088 is a wasteful number, since it uses less digits than its factorization.

56105088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11269 (or 11257 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 56105088 is about 7490.3329699019. The cubic root of 56105088 is about 382.8254038122.

The spelling of 56105088 in words is "fifty-six million, one hundred five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 11239 22478 33717 44956 67434 89912 134868 146107 179824 269736 292214 359648 438321 539472 584428 719296 876642 1078944 1168856 1438592 1753284 2157888 2337712 3506568 4315776 4675424 7013136 9350848 14026272 18701696 28052544 56105088