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96747168 = 25372131157
BaseRepresentation
bin1011100010000…
…11111010100000
320202001021011110
411301003322200
5144231402133
613333343320
72253223500
oct561037240
9222037143
1096747168
114a67a641
1228497b40
131707505b
14cbc5a00
158760c63
hex5c43ea0

96747168 has 144 divisors (see below), whose sum is σ = 299575584. Its totient is φ = 27256320.

The previous prime is 96747163. The next prime is 96747239. The reversal of 96747168 is 86174769.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (96747163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 616146 + ... + 616302.

It is an arithmetic number, because the mean of its divisors is an integer number (2080386).

Almost surely, 296747168 is an apocalyptic number.

96747168 is a gapful number since it is divisible by the number (98) 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 96747168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149787792).

96747168 is an abundant number, since it is smaller than the sum of its proper divisors (202828416).

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

96747168 is a wasteful number, since it uses less digits than its factorization.

96747168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 300 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The square root of 96747168 is about 9836.0138267491. The cubic root of 96747168 is about 459.0705365751.

The spelling of 96747168 in words is "ninety-six million, seven hundred forty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 131 147 157 168 196 224 262 294 314 336 392 393 471 524 588 628 672 784 786 917 942 1048 1099 1176 1256 1568 1572 1834 1884 2096 2198 2352 2512 2751 3144 3297 3668 3768 4192 4396 4704 5024 5502 6288 6419 6594 7336 7536 7693 8792 11004 12576 12838 13188 14672 15072 15386 17584 19257 20567 22008 23079 25676 26376 29344 30772 35168 38514 41134 44016 46158 51352 52752 61544 61701 77028 82268 88032 92316 102704 105504 123088 123402 143969 154056 164536 184632 205408 246176 246804 287938 308112 329072 369264 431907 493608 575876 616224 658144 738528 863814 987216 1007783 1151752 1727628 1974432 2015566 2303504 3023349 3455256 4031132 4607008 6046698 6910512 8062264 12093396 13821024 16124528 24186792 32249056 48373584 96747168