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53609088 = 2731310739
BaseRepresentation
bin1100110010000…
…0001010000000
310201212121211210
43030200022000
5102210442323
65153010120
71220445501
oct314401200
9121777753
1053609088
1128296335
1215b53940
13b150070
147196ba8
154a8e293
hex3320280

53609088 has 64 divisors (see below), whose sum is σ = 153367200. Its totient is φ = 16493568.

The previous prime is 53609029. The next prime is 53609117. The reversal of 53609088 is 88090635.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 378 + ... + 10361.

Almost surely, 253609088 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 53609088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76683600).

53609088 is an abundant number, since it is smaller than the sum of its proper divisors (99758112).

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

53609088 is a wasteful number, since it uses less digits than its factorization.

53609088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10769 (or 10757 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 53609088 is about 7321.8227238851. The cubic root of 53609088 is about 377.0620343664.

The spelling of 53609088 in words is "fifty-three million, six hundred nine 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 10739 21478 32217 42956 64434 85912 128868 139607 171824 257736 279214 343648 418821 515472 558428 687296 837642 1030944 1116856 1374592 1675284 2061888 2233712 3350568 4123776 4467424 6701136 8934848 13402272 17869696 26804544 53609088