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91442064 = 2437318779
BaseRepresentation
bin1010111001101…
…00101110010000
320101001201221010
411130310232100
5141402121224
613023530520
72160146640
oct534645620
9211051833
1091442064
114768685a
1226759a40
1315c3843c
14c204520
158063e29
hex5734b90

91442064 has 80 divisors (see below), whose sum is σ = 278712320. Its totient is φ = 25280640.

The previous prime is 91442053. The next prime is 91442083. The reversal of 91442064 is 46024419.

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 15 ways as a sum of consecutive naturals, for example, 6027 + ... + 14805.

It is an arithmetic number, because the mean of its divisors is an integer number (3483904).

Almost surely, 291442064 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 91442064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139356160).

91442064 is an abundant number, since it is smaller than the sum of its proper divisors (187270256).

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

91442064 is a wasteful number, since it uses less digits than its factorization.

91442064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8828 (or 8822 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 91442064 is about 9562.5343920950. The cubic root of 91442064 is about 450.5213118915.

The spelling of 91442064 in words is "ninety-one million, four hundred forty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 5208 8779 10416 17558 26337 35116 52674 61453 70232 105348 122906 140464 184359 210696 245812 272149 368718 421392 491624 544298 737436 816447 983248 1088596 1474872 1632894 1905043 2177192 2949744 3265788 3810086 4354384 5715129 6531576 7620172 11430258 13063152 15240344 22860516 30480688 45721032 91442064