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94369968 = 24337112837
BaseRepresentation
bin1011001111111…
…11100010110000
320120120111021000
411213333202300
5143124314333
613210402000
72224063050
oct547774260
9216514230
1094369968
11492a6610
1227730300
1316722024
14c767560
158441713
hex59ff8b0

94369968 has 160 divisors (see below), whose sum is σ = 337835520. Its totient is φ = 24503040.

The previous prime is 94369967. The next prime is 94369981. The reversal of 94369968 is 86996349.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (94369967) 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, 31846 + ... + 34682.

It is an arithmetic number, because the mean of its divisors is an integer number (2111472).

Almost surely, 294369968 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 94369968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168917760).

94369968 is an abundant number, since it is smaller than the sum of its proper divisors (243465552).

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

94369968 is a wasteful number, since it uses less digits than its factorization.

94369968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872 (or 2860 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 94369968 is about 9714.4206209120. The cubic root of 94369968 is about 455.2793325634.

The spelling of 94369968 in words is "ninety-four million, three hundred sixty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 693 756 792 924 1008 1188 1232 1386 1512 1584 1848 2079 2376 2772 2837 3024 3696 4158 4752 5544 5674 8316 8511 11088 11348 16632 17022 19859 22696 25533 31207 33264 34044 39718 45392 51066 59577 62414 68088 76599 79436 93621 102132 119154 124828 136176 153198 158872 178731 187242 204264 218449 238308 249656 280863 306396 317744 357462 374484 408528 436898 476616 499312 536193 561726 612792 655347 714924 748968 842589 873796 953232 1072386 1123452 1225584 1310694 1429848 1497936 1685178 1747592 1966041 2144772 2246904 2621388 2859696 3370356 3495184 3932082 4289544 4493808 5242776 5898123 6740712 7864164 8579088 10485552 11796246 13481424 15728328 23592492 31456656 47184984 94369968