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94399488 = 2103210243
BaseRepresentation
bin1011010000001…
…10110000000000
320120121222202100
411220012300000
5143131240423
613211150400
72224245111
oct550066000
9216558670
1094399488
1149316807
1227745400
13167325b1
14c774208
15844a343
hex5a06c00

94399488 has 66 divisors (see below), whose sum is σ = 272603084. Its totient is φ = 31463424.

The previous prime is 94399483. The next prime is 94399489. The reversal of 94399488 is 88499349.

It is a super-2 number, since 2×943994882 = 17822526669324288, which contains 22 as substring.

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

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (94399483) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4095 + ... + 14337.

Almost surely, 294399488 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 94399488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136301542).

94399488 is an abundant number, since it is smaller than the sum of its proper divisors (178203596).

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

94399488 is a wasteful number, since it uses less digits than its factorization.

94399488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10269 (or 10248 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 94399488 is about 9715.9398927741. The cubic root of 94399488 is about 455.3267997998.

Subtracting from 94399488 its product of digits (2239488), we obtain a square (92160000 = 96002).

The spelling of 94399488 in words is "ninety-four million, three hundred ninety-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 10243 20486 30729 40972 61458 81944 92187 122916 163888 184374 245832 327776 368748 491664 655552 737496 983328 1311104 1474992 1966656 2622208 2949984 3933312 5244416 5899968 7866624 10488832 11799936 15733248 23599872 31466496 47199744 94399488