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91096272 = 2433433487
BaseRepresentation
bin1010110111000…
…00010011010000
320100102011121000
411123200103100
5141310040042
613012302000
72154206541
oct533402320
9210364530
1091096272
114746aa83
1226611900
1315b46c27
14c1544c8
157ee674c
hex56e04d0

91096272 has 80 divisors (see below), whose sum is σ = 262622080. Its totient is φ = 30233088.

The previous prime is 91096249. The next prime is 91096277. The reversal of 91096272 is 27269019.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91096277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186813 + ... + 187299.

It is an arithmetic number, because the mean of its divisors is an integer number (3282776).

Almost surely, 291096272 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 91096272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131311040).

91096272 is an abundant number, since it is smaller than the sum of its proper divisors (171525808).

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

91096272 is a wasteful number, since it uses less digits than its factorization.

91096272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 91096272 is about 9544.4367041748. The cubic root of 91096272 is about 449.9527061408.

The spelling of 91096272 in words is "ninety-one million, ninety-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 433 487 866 974 1299 1461 1732 1948 2598 2922 3464 3896 3897 4383 5196 5844 6928 7792 7794 8766 10392 11688 11691 13149 15588 17532 20784 23376 23382 26298 31176 35064 46764 52596 62352 70128 93528 105192 187056 210384 210871 421742 632613 843484 1265226 1686968 1897839 2530452 3373936 3795678 5060904 5693517 7591356 10121808 11387034 15182712 22774068 30365424 45548136 91096272