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71633056 = 25111091867
BaseRepresentation
bin1000100010100…
…00100010100000
311222210100002011
410101100202200
5121314224211
611035202304
71526604505
oct421204240
9158710064
1071633056
1137486a80
121bba6394
1311ac0c31
1497294ac
15644e921
hex44508a0

71633056 has 48 divisors (see below), whose sum is σ = 155342880. Its totient is φ = 32244480.

The previous prime is 71633039. The next prime is 71633077. The reversal of 71633056 is 65033617.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 37435 + ... + 39301.

It is an arithmetic number, because the mean of its divisors is an integer number (3236310).

Almost surely, 271633056 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 71633056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77671440).

71633056 is an abundant number, since it is smaller than the sum of its proper divisors (83709824).

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

71633056 is a wasteful number, since it uses less digits than its factorization.

71633056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 71633056 is about 8463.6313719349. The cubic root of 71633056 is about 415.3088251439.

The spelling of 71633056 in words is "seventy-one million, six hundred thirty-three thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 109 176 218 352 436 872 1199 1744 1867 2398 3488 3734 4796 7468 9592 14936 19184 20537 29872 38368 41074 59744 82148 164296 203503 328592 407006 657184 814012 1628024 2238533 3256048 4477066 6512096 8954132 17908264 35816528 71633056