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71949056 = 281272213
BaseRepresentation
bin1000100100111…
…01101100000000
312000101101112212
410102131230000
5121404332211
611050041252
71532362004
oct422355400
9160341485
1071949056
1137682433
1220119228
1311ba1a0a
1497ac704
1564b338b
hex449db00

71949056 has 36 divisors (see below), whose sum is σ = 144813312. Its totient is φ = 35675136.

The previous prime is 71949023. The next prime is 71949061. The reversal of 71949056 is 65094917.

71949056 = 892 + 902 + ... + 6002.

It is a super-2 number, since 2×719490562 = 10353333318582272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31406 + ... + 33618.

It is an arithmetic number, because the mean of its divisors is an integer number (4022592).

Almost surely, 271949056 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 71949056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72406656).

71949056 is an abundant number, since it is smaller than the sum of its proper divisors (72864256).

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

71949056 is a wasteful number, since it uses less digits than its factorization.

71949056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2356 (or 2342 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 41.

The square root of 71949056 is about 8482.2789390588. The cubic root of 71949056 is about 415.9186231356.

The spelling of 71949056 in words is "seventy-one million, nine hundred forty-nine thousand, fifty-six".

Divisors: 1 2 4 8 16 32 64 127 128 254 256 508 1016 2032 2213 4064 4426 8128 8852 16256 17704 32512 35408 70816 141632 281051 283264 562102 566528 1124204 2248408 4496816 8993632 17987264 35974528 71949056