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71677672 = 23116712157
BaseRepresentation
bin1000100010110…
…11011011101000
311222212121021121
410101123123220
5121322141142
611040145024
71530151543
oct421333350
9158777247
1071677672
1137507550
1220008174
1311b08331
14973b85a
15645cc67
hex445b6e8

71677672 has 32 divisors (see below), whose sum is σ = 148813920. Its totient is φ = 32091840.

The previous prime is 71677651. The next prime is 71677681. The reversal of 71677672 is 27677617.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 183 + ... + 11974.

It is an arithmetic number, because the mean of its divisors is an integer number (4650435).

Almost surely, 271677672 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 71677672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74406960).

71677672 is an abundant number, since it is smaller than the sum of its proper divisors (77136248).

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

71677672 is a wasteful number, since it uses less digits than its factorization.

71677672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12241 (or 12237 counting only the distinct ones).

The product of its digits is 172872, while the sum is 43.

The square root of 71677672 is about 8466.2667097133. The cubic root of 71677672 is about 415.3950310286.

The spelling of 71677672 in words is "seventy-one million, six hundred seventy-seven thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 22 44 67 88 134 268 536 737 1474 2948 5896 12157 24314 48628 97256 133727 267454 534908 814519 1069816 1629038 3258076 6516152 8959709 17919418 35838836 71677672