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91142464 = 2671311553
BaseRepresentation
bin1010110111010…
…11100101000000
320100111111221211
411123223211000
5141313024324
613013255504
72154461320
oct533534500
9210444854
1091142464
11474a1756
1226634594
1315b61c6a
14c167280
158005294
hex56eb940

91142464 has 56 divisors (see below), whose sum is σ = 208410048. Its totient is φ = 38737920.

The previous prime is 91142459. The next prime is 91142473. The reversal of 91142464 is 46424119.

It is a tau number, because it is divible by the number of its divisors (56).

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 7 ways as a sum of consecutive naturals, for example, 57912 + ... + 59464.

It is an arithmetic number, because the mean of its divisors is an integer number (3721608).

Almost surely, 291142464 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 91142464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104205024).

91142464 is an abundant number, since it is smaller than the sum of its proper divisors (117267584).

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

91142464 is a wasteful number, since it uses less digits than its factorization.

91142464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1693 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 91142464 is about 9546.8562364791. The cubic root of 91142464 is about 450.0287454888.

The spelling of 91142464 in words is "ninety-one million, one hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 131 224 262 448 524 917 1048 1553 1834 2096 3106 3668 4192 6212 7336 8384 10871 12424 14672 21742 24848 29344 43484 49696 58688 86968 99392 173936 203443 347872 406886 695744 813772 1424101 1627544 2848202 3255088 5696404 6510176 11392808 13020352 22785616 45571232 91142464