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96718464 = 2732591423
BaseRepresentation
bin1011100001111…
…00111010000000
320201222210210100
411300330322000
5144224442324
613333002400
72253044013
oct560747200
9221883710
1096718464
114a660017
1228483400
1317064c7b
14cbb937a
1587574c9
hex5c3ce80

96718464 has 96 divisors (see below), whose sum is σ = 283233600. Its totient is φ = 31670784.

The previous prime is 96718459. The next prime is 96718469. The reversal of 96718464 is 46481769.

It is an interprime number because it is at equal distance from previous prime (96718459) and next prime (96718469).

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

It is a super-2 number, since 2×967184642 = 18708922557038592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (96718469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67257 + ... + 68679.

It is an arithmetic number, because the mean of its divisors is an integer number (2950350).

Almost surely, 296718464 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 96718464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141616800).

96718464 is an abundant number, since it is smaller than the sum of its proper divisors (186515136).

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

96718464 is a wasteful number, since it uses less digits than its factorization.

96718464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1487 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 96718464 is about 9834.5545908292. The cubic root of 96718464 is about 459.0251314077.

It can be divided in two parts, 9 and 6718464, that multiplied together give a 10-th power (60466176 = 610).

The spelling of 96718464 in words is "ninety-six million, seven hundred eighteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 128 144 177 192 236 288 354 384 472 531 576 708 944 1062 1152 1416 1423 1888 2124 2832 2846 3776 4248 4269 5664 5692 7552 8496 8538 11328 11384 12807 16992 17076 22656 22768 25614 33984 34152 45536 51228 67968 68304 83957 91072 102456 136608 167914 182144 204912 251871 273216 335828 409824 503742 546432 671656 755613 819648 1007484 1343312 1511226 1639296 2014968 2686624 3022452 4029936 5373248 6044904 8059872 10746496 12089808 16119744 24179616 32239488 48359232 96718464