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91713312 = 25322979139
BaseRepresentation
bin1010111011101…
…10111100100000
320101120112000100
411131312330200
5141434311222
613033422400
72162356515
oct535667440
9211515010
1091713312
1147851629
122686aa00
1316001a42
14c27530c
1580b94ac
hex5776f20

91713312 has 144 divisors (see below), whose sum is σ = 275184000. Its totient is φ = 28933632.

The previous prime is 91713311. The next prime is 91713313. The reversal of 91713312 is 21331719.

It is an interprime number because it is at equal distance from previous prime (91713311) and next prime (91713313).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×917133122 = 16822663196018688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91713311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 659739 + ... + 659877.

It is an arithmetic number, because the mean of its divisors is an integer number (1911000).

Almost surely, 291713312 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 91713312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137592000).

91713312 is an abundant number, since it is smaller than the sum of its proper divisors (183470688).

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

91713312 is a wasteful number, since it uses less digits than its factorization.

91713312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 252 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 91713312 is about 9576.7067408374. The cubic root of 91713312 is about 450.9663381972.

The spelling of 91713312 in words is "ninety-one million, seven hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 79 87 96 116 139 144 158 174 232 237 261 278 288 316 348 417 464 474 522 556 632 696 711 834 928 948 1044 1112 1251 1264 1392 1422 1668 1896 2088 2224 2291 2502 2528 2784 2844 3336 3792 4031 4176 4448 4582 5004 5688 6672 6873 7584 8062 8352 9164 10008 10981 11376 12093 13344 13746 16124 18328 20016 20619 21962 22752 24186 27492 32248 32943 36279 36656 40032 41238 43924 48372 54984 64496 65886 72558 73312 82476 87848 96744 98829 109968 128992 131772 145116 164952 175696 193488 197658 219936 263544 290232 318449 329904 351392 386976 395316 527088 580464 636898 659808 790632 955347 1054176 1160928 1273796 1581264 1910694 2547592 2866041 3162528 3821388 5095184 5732082 7642776 10190368 11464164 15285552 22928328 30571104 45856656 91713312