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71709408 = 253382997
BaseRepresentation
bin1000100011000…
…11001011100000
311222221012211000
410101203023200
5121324200113
611040552000
71530343221
oct421431340
9158835730
1071709408
1137529381
1220022600
1311b19904
149749248
156467373
hex44632e0

71709408 has 48 divisors (see below), whose sum is σ = 209154960. Its totient is φ = 23902848.

The previous prime is 71709397. The next prime is 71709409. The reversal of 71709408 is 80490717.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71709409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40635 + ... + 42362.

It is an arithmetic number, because the mean of its divisors is an integer number (4357395).

Almost surely, 271709408 is an apocalyptic number.

It is an amenable number.

71709408 is an abundant number, since it is smaller than the sum of its proper divisors (137445552).

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

71709408 is a wasteful number, since it uses less digits than its factorization.

71709408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83016 (or 83002 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 71709408 is about 8468.1407640639. The cubic root of 71709408 is about 415.4563287391.

The spelling of 71709408 in words is "seventy-one million, seven hundred nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 82997 165994 248991 331988 497982 663976 746973 995964 1327952 1493946 1991928 2240919 2655904 2987892 3983856 4481838 5975784 7967712 8963676 11951568 17927352 23903136 35854704 71709408