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94423968 = 253512143
BaseRepresentation
bin1011010000011…
…00101110100000
320120200020100000
411220030232200
5143133031333
613211500000
72224406352
oct550145640
9216606300
1094423968
1149333141
1227757600
1316740792
14c77d0d2
158452713
hex5a0cba0

94423968 has 72 divisors (see below), whose sum is σ = 278486208. Its totient is φ = 31472064.

The previous prime is 94423961. The next prime is 94423997. The reversal of 94423968 is 86932449.

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

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

It is not an unprimeable number, because it can be changed into a prime (94423961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1705 + ... + 13847.

It is an arithmetic number, because the mean of its divisors is an integer number (3867864).

Almost surely, 294423968 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 94423968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139243104).

94423968 is an abundant number, since it is smaller than the sum of its proper divisors (184062240).

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

94423968 is a wasteful number, since it uses less digits than its factorization.

94423968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12168 (or 12148 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 94423968 is about 9717.1995965916. The cubic root of 94423968 is about 455.3661553688.

The spelling of 94423968 in words is "ninety-four million, four hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 12143 24286 36429 48572 72858 97144 109287 145716 194288 218574 291432 327861 388576 437148 582864 655722 874296 983583 1165728 1311444 1748592 1967166 2622888 2950749 3497184 3934332 5245776 5901498 7868664 10491552 11802996 15737328 23605992 31474656 47211984 94423968