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83613696 = 211331439
BaseRepresentation
bin1001111101111…
…01100000000000
312211100000102120
410332331200000
5132401114241
612144044240
72033463465
oct476754000
9184300376
1083613696
114321a231
1224003680
131442717a
14b16766c
157519666
hex4fbd800

83613696 has 96 divisors (see below), whose sum is σ = 230630400. Its totient is φ = 26910720.

The previous prime is 83613659. The next prime is 83613697. The reversal of 83613696 is 69631638.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83613697) 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, 190245 + ... + 190683.

It is an arithmetic number, because the mean of its divisors is an integer number (2402400).

Almost surely, 283613696 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 83613696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115315200).

83613696 is an abundant number, since it is smaller than the sum of its proper divisors (147016704).

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

83613696 is a wasteful number, since it uses less digits than its factorization.

83613696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 475 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 83613696 is about 9144.0524932876. The cubic root of 83613696 is about 437.2795227599.

The spelling of 83613696 in words is "eighty-three million, six hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 439 496 512 744 768 878 992 1024 1317 1488 1536 1756 1984 2048 2634 2976 3072 3512 3968 5268 5952 6144 7024 7936 10536 11904 13609 14048 15872 21072 23808 27218 28096 31744 40827 42144 47616 54436 56192 63488 81654 84288 95232 108872 112384 163308 168576 190464 217744 224768 326616 337152 435488 449536 653232 674304 870976 899072 1306464 1348608 1741952 2612928 2697216 3483904 5225856 6967808 10451712 13935616 20903424 27871232 41806848 83613696