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96758496 = 2533532113
BaseRepresentation
bin1011100010001…
…10101011100000
320202001211201000
411301012223200
5144232232441
613333512000
72253301512
oct561065340
9222054630
1096758496
114a6880aa
12284a2600
131707a263
14cbc9bb2
1587642b6
hex5c46ae0

96758496 has 96 divisors (see below), whose sum is σ = 287673120. Its totient is φ = 31629312.

The previous prime is 96758491. The next prime is 96758503. The reversal of 96758496 is 69485769.

96758496 is nontrivially palindromic in base 5.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96758491) 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, 44736 + ... + 46848.

It is an arithmetic number, because the mean of its divisors is an integer number (2996595).

Almost surely, 296758496 is an apocalyptic number.

96758496 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96758496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143836560).

96758496 is an abundant number, since it is smaller than the sum of its proper divisors (190914624).

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

96758496 is a wasteful number, since it uses less digits than its factorization.

96758496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2185 (or 2171 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 96758496 is about 9836.5896529234. The cubic root of 96758496 is about 459.0884531997.

The spelling of 96758496 in words is "ninety-six million, seven hundred fifty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 72 96 106 108 144 159 212 216 288 318 424 432 477 636 848 864 954 1272 1431 1696 1908 2113 2544 2862 3816 4226 5088 5724 6339 7632 8452 11448 12678 15264 16904 19017 22896 25356 33808 38034 45792 50712 57051 67616 76068 101424 111989 114102 152136 202848 223978 228204 304272 335967 447956 456408 608544 671934 895912 912816 1007901 1343868 1791824 1825632 2015802 2687736 3023703 3583648 4031604 5375472 6047406 8063208 10750944 12094812 16126416 24189624 32252832 48379248 96758496