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94957368 = 233112979157
BaseRepresentation
bin1011010100011…
…10111100111000
320121200100000120
411222032330320
5143302113433
613231133240
72232060432
oct552167470
9217610016
1094957368
1149667970
1227974220
13168994bc
14c87b652
15850a7b3
hex5a8ef38

94957368 has 128 divisors (see below), whose sum is σ = 273024000. Its totient is φ = 27256320.

The previous prime is 94957361. The next prime is 94957381. The reversal of 94957368 is 86375949.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 94957368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94957361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 604746 + ... + 604902.

It is an arithmetic number, because the mean of its divisors is an integer number (2133000).

Almost surely, 294957368 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 94957368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136512000).

94957368 is an abundant number, since it is smaller than the sum of its proper divisors (178066632).

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

94957368 is a wasteful number, since it uses less digits than its factorization.

94957368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 281 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The square root of 94957368 is about 9744.6071239430. The cubic root of 94957368 is about 456.2219987069.

The spelling of 94957368 in words is "ninety-four million, nine hundred fifty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 79 87 88 116 132 157 158 174 232 237 264 314 316 319 348 471 474 628 632 638 696 869 942 948 957 1256 1276 1727 1738 1884 1896 1914 2291 2552 2607 3454 3476 3768 3828 4553 4582 5181 5214 6873 6908 6952 7656 9106 9164 10362 10428 12403 13659 13746 13816 18212 18328 20724 20856 24806 25201 27318 27492 36424 37209 41448 49612 50083 50402 54636 54984 74418 75603 99224 100166 100804 109272 136433 148836 150249 151206 200332 201608 272866 297672 300498 302412 359687 400664 409299 545732 600996 604824 719374 818598 1079061 1091464 1201992 1438748 1637196 2158122 2877496 3274392 3956557 4316244 7913114 8632488 11869671 15826228 23739342 31652456 47478684 94957368