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94269216 = 25317471229
BaseRepresentation
bin1011001111001…
…10111100100000
320120101101001110
411213212330200
5143113103331
613204303320
72223163236
oct547467440
9216341043
1094269216
1149237948
12276a1b40
13166b8202
14c73c956
158421946
hex59e6f20

94269216 has 96 divisors (see below), whose sum is σ = 267805440. Its totient is φ = 28921856.

The previous prime is 94269193. The next prime is 94269223. The reversal of 94269216 is 61296249.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76090 + ... + 77318.

It is an arithmetic number, because the mean of its divisors is an integer number (2789640).

Almost surely, 294269216 is an apocalyptic number.

94269216 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 94269216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133902720).

94269216 is an abundant number, since it is smaller than the sum of its proper divisors (173536224).

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

94269216 is a wasteful number, since it uses less digits than its factorization.

94269216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1298 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 94269216 is about 9709.2335433854. The cubic root of 94269216 is about 455.1172519138.

The spelling of 94269216 in words is "ninety-four million, two hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 47 48 51 68 94 96 102 136 141 188 204 272 282 376 408 544 564 752 799 816 1128 1229 1504 1598 1632 2256 2397 2458 3196 3687 4512 4794 4916 6392 7374 9588 9832 12784 14748 19176 19664 20893 25568 29496 38352 39328 41786 57763 58992 62679 76704 83572 115526 117984 125358 167144 173289 231052 250716 334288 346578 462104 501432 668576 693156 924208 981971 1002864 1386312 1848416 1963942 2005728 2772624 2945913 3927884 5545248 5891826 7855768 11783652 15711536 23567304 31423072 47134608 94269216