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96726432 = 253113757
BaseRepresentation
bin1011100001111…
…10110110100000
320202000012201110
411300332312200
5144230221212
613333103320
72253106155
oct560766640
9222005643
1096726432
114a666000
1228487b40
131706879a
14cbbc22c
158759a3c
hex5c3eda0

96726432 has 96 divisors (see below), whose sum is σ = 279647424. Its totient is φ = 29272320.

The previous prime is 96726401. The next prime is 96726433. The reversal of 96726432 is 23462769.

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

It is not an unprimeable number, because it can be changed into a prime (96726433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127398 + ... + 128154.

It is an arithmetic number, because the mean of its divisors is an integer number (2912994).

Almost surely, 296726432 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 96726432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139823712).

96726432 is an abundant number, since it is smaller than the sum of its proper divisors (182920992).

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

96726432 is a wasteful number, since it uses less digits than its factorization.

96726432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 773 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 96726432 is about 9834.9596847166. The cubic root of 96726432 is about 459.0377364183.

The spelling of 96726432 in words is "ninety-six million, seven hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 757 968 1056 1331 1452 1514 1936 2271 2662 2904 3028 3872 3993 4542 5324 5808 6056 7986 8327 9084 10648 11616 12112 15972 16654 18168 21296 24224 24981 31944 33308 36336 42592 49962 63888 66616 72672 91597 99924 127776 133232 183194 199848 266464 274791 366388 399696 549582 732776 799392 1007567 1099164 1465552 2015134 2198328 2931104 3022701 4030268 4396656 6045402 8060536 8793312 12090804 16121072 24181608 32242144 48363216 96726432