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91984074 = 23721341587
BaseRepresentation
bin1010111101110…
…01000011001010
320102002021102120
411132321003022
5142021442244
613043312110
72164565100
oct536710312
9212067376
1091984074
1147a16aa6
122697b636
1316098060
14c305c70
15811e819
hex57b90ca

91984074 has 96 divisors (see below), whose sum is σ = 236488896. Its totient is φ = 23627520.

The previous prime is 91984031. The next prime is 91984091. The reversal of 91984074 is 47048919.

It is a super-2 number, since 2×919840742 = 16922139739274952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156409 + ... + 156995.

It is an arithmetic number, because the mean of its divisors is an integer number (2463426).

Almost surely, 291984074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91984074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118244448).

91984074 is an abundant number, since it is smaller than the sum of its proper divisors (144504822).

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

91984074 is a wasteful number, since it uses less digits than its factorization.

91984074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 91984074 is about 9590.8328105540. The cubic root of 91984074 is about 451.4096928932.

The spelling of 91984074 in words is "ninety-one million, nine hundred eighty-four thousand, seventy-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 41 42 49 78 82 91 98 123 147 182 246 273 287 294 533 546 574 587 637 861 1066 1174 1274 1599 1722 1761 1911 2009 3198 3522 3731 3822 4018 4109 6027 7462 7631 8218 11193 12054 12327 15262 22386 22893 24067 24654 26117 28763 45786 48134 52234 53417 57526 72201 78351 86289 106834 144402 156702 160251 168469 172578 312871 320502 336938 373919 505407 625742 747838 938613 1010814 1121757 1179283 1877226 2190097 2243514 2358566 3537849 4380194 6570291 7075698 13140582 15330679 30661358 45992037 91984074