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96269376 = 263783863
BaseRepresentation
bin1011011110011…
…11010001000000
320201010222202110
411233033101000
5144121110001
613315215320
72246163510
oct557172100
9221128673
1096269376
114a383675
12282a7540
1316c38738
14cadd840
1586b93d6
hex5bcf440

96269376 has 112 divisors (see below), whose sum is σ = 294948864. Its totient is φ = 27142656.

The previous prime is 96269363. The next prime is 96269401. The reversal of 96269376 is 67396269.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111121 + ... + 111983.

It is an arithmetic number, because the mean of its divisors is an integer number (2633472).

Almost surely, 296269376 is an apocalyptic number.

96269376 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 96269376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147474432).

96269376 is an abundant number, since it is smaller than the sum of its proper divisors (198679488).

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

96269376 is a wasteful number, since it uses less digits than its factorization.

96269376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 958 counting only the distinct ones).

The product of its digits is 734832, while the sum is 48.

The square root of 96269376 is about 9811.6958778796. The cubic root of 96269376 is about 458.3135728193.

The spelling of 96269376 in words is "ninety-six million, two hundred sixty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 83 84 96 112 166 168 192 224 249 332 336 448 498 581 664 672 863 996 1162 1328 1344 1726 1743 1992 2324 2589 2656 3452 3486 3984 4648 5178 5312 6041 6904 6972 7968 9296 10356 12082 13808 13944 15936 18123 18592 20712 24164 27616 27888 36246 37184 41424 48328 55232 55776 71629 72492 82848 96656 111552 143258 144984 165696 193312 214887 286516 289968 386624 429774 501403 573032 579936 859548 1002806 1146064 1159872 1504209 1719096 2005612 2292128 3008418 3438192 4011224 4584256 6016836 6876384 8022448 12033672 13752768 16044896 24067344 32089792 48134688 96269376