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91055712 = 25311232163
BaseRepresentation
bin1010110110101…
…10011001100000
320100100002221210
411123112121200
5141302240322
613011350120
72153650356
oct533263140
9210302853
1091055712
1147442560
12265b2340
1315b31627
14c1437d6
157ed970c
hex56d6660

91055712 has 144 divisors (see below), whose sum is σ = 274252608. Its totient is φ = 26231040.

The previous prime is 91055687. The next prime is 91055759. The reversal of 91055712 is 21755019.

It is a super-2 number, since 2×910557122 = 16582285375653888, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 91055712.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 558543 + ... + 558705.

It is an arithmetic number, because the mean of its divisors is an integer number (1904532).

Almost surely, 291055712 is an apocalyptic number.

91055712 is a gapful number since it is divisible by the number (92) 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 91055712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137126304).

91055712 is an abundant number, since it is smaller than the sum of its proper divisors (183196896).

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

91055712 is a wasteful number, since it uses less digits than its factorization.

91055712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 30.

The square root of 91055712 is about 9542.3116696113. The cubic root of 91055712 is about 449.8859167593.

The spelling of 91055712 in words is "ninety-one million, fifty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 132 138 163 176 184 253 264 276 326 352 368 489 506 528 529 552 652 736 759 978 1012 1056 1058 1104 1304 1518 1587 1793 1956 2024 2116 2208 2608 3036 3174 3586 3749 3912 4048 4232 5216 5379 5819 6072 6348 7172 7498 7824 8096 8464 10758 11247 11638 12144 12696 14344 14996 15648 16928 17457 21516 22494 23276 24288 25392 28688 29992 34914 41239 43032 44988 46552 50784 57376 59984 69828 82478 86064 86227 89976 93104 119968 123717 139656 164956 172128 172454 179952 186208 247434 258681 279312 329912 344908 359904 494868 517362 558624 659824 689816 948497 989736 1034724 1319648 1379632 1896994 1979472 2069448 2759264 2845491 3793988 3958944 4138896 5690982 7587976 8277792 11381964 15175952 22763928 30351904 45527856 91055712