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94231296 = 283313633
BaseRepresentation
bin1011001110111…
…01101100000000
320120022110001000
411213131230000
5143110400141
613203412000
72222644545
oct547355400
9216273030
1094231296
1149211405
1227684000
13166a3b83
14c72cbcc
1584155b6
hex59ddb00

94231296 has 72 divisors (see below), whose sum is σ = 278678960. Its totient is φ = 31408128.

The previous prime is 94231273. The next prime is 94231309. The reversal of 94231296 is 69213249.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 94231296.

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 7 ways as a sum of consecutive naturals, for example, 96 + ... + 13728.

Almost surely, 294231296 is an apocalyptic number.

94231296 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 94231296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139339480).

94231296 is an abundant number, since it is smaller than the sum of its proper divisors (184447664).

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

94231296 is a wasteful number, since it uses less digits than its factorization.

94231296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13658 (or 13638 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 94231296 is about 9707.2805666675. The cubic root of 94231296 is about 455.0562197569.

The spelling of 94231296 in words is "ninety-four million, two hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 13633 27266 40899 54532 81798 109064 122697 163596 218128 245394 327192 368091 436256 490788 654384 736182 872512 981576 1308768 1472364 1745024 1963152 2617536 2944728 3490048 3926304 5235072 5889456 7852608 10470144 11778912 15705216 23557824 31410432 47115648 94231296