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71436992 = 26111747127
BaseRepresentation
bin1000100001000…
…00101011000000
311222102101010112
410100200223000
5121241440432
611031050452
71525130054
oct420405300
9158371115
1071436992
1137362740
121bb10a28
1311a52913
1496b7c64
1564117b2
hex4420ac0

71436992 has 112 divisors (see below), whose sum is σ = 168542208. Its totient is φ = 29675520.

The previous prime is 71436991. The next prime is 71437013. The reversal of 71436992 is 29963417.

It is not an unprimeable number, because it can be changed into a prime (71436991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 562433 + ... + 562559.

Almost surely, 271436992 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 71436992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84271104).

71436992 is an abundant number, since it is smaller than the sum of its proper divisors (97105216).

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

71436992 is a wasteful number, since it uses less digits than its factorization.

71436992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 204 counting only the distinct ones).

The product of its digits is 81648, while the sum is 41.

The square root of 71436992 is about 8452.0407003279. The cubic root of 71436992 is about 414.9295704742.

The spelling of 71436992 in words is "seventy-one million, four hundred thirty-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 47 64 68 88 94 127 136 176 187 188 254 272 352 374 376 508 517 544 704 748 752 799 1016 1034 1088 1397 1496 1504 1598 2032 2068 2159 2794 2992 3008 3196 4064 4136 4318 5588 5969 5984 6392 8128 8272 8636 8789 11176 11938 11968 12784 16544 17272 17578 22352 23749 23876 25568 33088 34544 35156 44704 47498 47752 51136 65659 69088 70312 89408 94996 95504 101473 131318 138176 140624 189992 191008 202946 262636 281248 379984 382016 405892 525272 562496 759968 811784 1050544 1116203 1519936 1623568 2101088 2232406 3247136 4202176 4464812 6494272 8929624 17859248 35718496 71436992