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91245216 = 2531496379
BaseRepresentation
bin1010111000001…
…00101010100000
320100200201220110
411130010222200
5141324321331
613015411320
72155400016
oct534045240
9210621813
1091245216
1147561977
1226683b40
1315b9996a
14c1928b6
158025946
hex5704aa0

91245216 has 48 divisors (see below), whose sum is σ = 241164000. Its totient is φ = 30206208.

The previous prime is 91245199. The next prime is 91245227. The reversal of 91245216 is 61254219.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11115 + ... + 17493.

It is an arithmetic number, because the mean of its divisors is an integer number (5024250).

Almost surely, 291245216 is an apocalyptic number.

91245216 is a gapful number since it is divisible by the number (96) 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 91245216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120582000).

91245216 is an abundant number, since it is smaller than the sum of its proper divisors (149918784).

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

91245216 is a wasteful number, since it uses less digits than its factorization.

91245216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6541 (or 6533 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 91245216 is about 9552.2361779847. The cubic root of 91245216 is about 450.1977994634.

The spelling of 91245216 in words is "ninety-one million, two hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 149 298 447 596 894 1192 1788 2384 3576 4768 6379 7152 12758 14304 19137 25516 38274 51032 76548 102064 153096 204128 306192 612384 950471 1900942 2851413 3801884 5702826 7603768 11405652 15207536 22811304 30415072 45622608 91245216