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96269796 = 2235714149
BaseRepresentation
bin1011011110011…
…11010111100100
320201011000100000
411233033113210
5144121113141
613315221300
72246164650
oct557172744
9221130300
1096269796
114a383a17
12282a7830
1316c3899c
14cadda60
1586b95b6
hex5bcf5e4

96269796 has 72 divisors (see below), whose sum is σ = 288433600. Its totient is φ = 27503712.

The previous prime is 96269753. The next prime is 96269801. The reversal of 96269796 is 69796269.

It is a happy number.

96269796 is a `hidden beast` number, since 9 + 626 + 9 + 7 + 9 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271 + ... + 13878.

Almost surely, 296269796 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 96269796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144216800).

96269796 is an abundant number, since it is smaller than the sum of its proper divisors (192163804).

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

96269796 is a wasteful number, since it uses less digits than its factorization.

96269796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14175 (or 14161 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The square root of 96269796 is about 9811.7172808841. The cubic root of 96269796 is about 458.3142393221.

The spelling of 96269796 in words is "ninety-six million, two hundred sixty-nine thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 14149 28298 42447 56596 84894 99043 127341 169788 198086 254682 297129 382023 396172 509364 594258 764046 891387 1146069 1188516 1528092 1782774 2292138 2674161 3438207 3565548 4584276 5348322 6876414 8022483 10696644 13752828 16044966 24067449 32089932 48134898 96269796