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91054992 = 24371719839
BaseRepresentation
bin1010110110101…
…10001110010000
320100100001222010
411123112032100
5141302224432
613011342520
72153645310
oct533261620
9210301863
1091054992
1147441a66
12265b1a40
1315b311c2
14c143440
157ed93cc
hex56d6390

91054992 has 160 divisors (see below), whose sum is σ = 299980800. Its totient is φ = 23169024.

The previous prime is 91054991. The next prime is 91055021. The reversal of 91054992 is 29945019.

It is a self number, because there is not a number n which added to its sum of digits gives 91054992.

It is not an unprimeable number, because it can be changed into a prime (91054991) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 108109 + ... + 108947.

It is an arithmetic number, because the mean of its divisors is an integer number (1874880).

Almost surely, 291054992 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 91054992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149990400).

91054992 is an abundant number, since it is smaller than the sum of its proper divisors (208925808).

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

91054992 is a wasteful number, since it uses less digits than its factorization.

91054992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 39.

The square root of 91054992 is about 9542.2739428294. The cubic root of 91054992 is about 449.8847309698.

The spelling of 91054992 in words is "ninety-one million, fifty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 19 21 24 28 34 38 42 48 51 56 57 68 76 84 102 112 114 119 133 136 152 168 204 228 238 266 272 304 323 336 357 399 408 456 476 532 646 714 798 816 839 912 952 969 1064 1292 1428 1596 1678 1904 1938 2128 2261 2517 2584 2856 3192 3356 3876 4522 5034 5168 5712 5873 6384 6712 6783 7752 9044 10068 11746 13424 13566 14263 15504 15941 17619 18088 20136 23492 27132 28526 31882 35238 36176 40272 42789 46984 47823 54264 57052 63764 70476 85578 93968 95646 99841 108528 111587 114104 127528 140952 171156 191292 199682 223174 228208 255056 270997 281904 299523 334761 342312 382584 399364 446348 541994 599046 669522 684624 765168 798728 812991 892696 1083988 1198092 1339044 1597456 1625982 1785392 1896979 2167976 2396184 2678088 3251964 3793958 4335952 4792368 5356176 5690937 6503928 7587916 11381874 13007856 15175832 22763748 30351664 45527496 91054992