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71639296 = 28234
BaseRepresentation
bin1000100010100…
…10000100000000
311222210122122021
410101102010000
5121314424141
611035251224
71526631631
oct421220400
9158718567
1071639296
1137490733
121bba9b14
1311ac3a21
14972b888
1564516d1
hex4452100

71639296 has 45 divisors (see below), whose sum is σ = 149498671. Its totient is φ = 34262272.

The previous prime is 71639279. The next prime is 71639299. The reversal of 71639296 is 69293617.

The square root of 71639296 is 8464.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It is a Duffinian number.

Its product of digits (122472) is a multiple of the sum of its prime factors (108).

It is not an unprimeable number, because it can be changed into a prime (71639299) by changing a digit.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 3114741 + ... + 3114763.

Almost surely, 271639296 is an apocalyptic number.

71639296 is the 8464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71639296

71639296 is an abundant number, since it is smaller than the sum of its proper divisors (77859375).

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

71639296 is an frugal number, since it uses more digits than its factorization.

71639296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 25 counting only the distinct ones).

The product of its digits is 122472, while the sum is 43.

The cubic root of 71639296 is about 415.3208840636.

The spelling of 71639296 in words is "seventy-one million, six hundred thirty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 529 736 1058 1472 2116 2944 4232 5888 8464 12167 16928 24334 33856 48668 67712 97336 135424 194672 279841 389344 559682 778688 1119364 1557376 2238728 3114752 4477456 8954912 17909824 35819648 71639296