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71669952 = 2632124427
BaseRepresentation
bin1000100010110…
…01100011000000
311222212012200200
410101121203000
5121321414302
611040045200
71530120204
oct421314300
9158765620
1071669952
1137501772
1220003800
1311b04973
149738b04
15645a81c
hex44598c0

71669952 has 42 divisors (see below), whose sum is σ = 205430628. Its totient is φ = 23889792.

The previous prime is 71669951. The next prime is 71669953. The reversal of 71669952 is 25996617.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (71669951) and next prime (71669953).

It is a junction number, because it is equal to n+sod(n) for n = 71669898 and 71669907.

It is not an unprimeable number, because it can be changed into a prime (71669951) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61638 + ... + 62789.

Almost surely, 271669952 is an apocalyptic number.

71669952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

71669952 is an abundant number, since it is smaller than the sum of its proper divisors (133760676).

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

71669952 is a wasteful number, since it uses less digits than its factorization.

71669952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124445 (or 124432 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 71669952 is about 8465.8107703870. The cubic root of 71669952 is about 415.3801172036.

The spelling of 71669952 in words is "seventy-one million, six hundred sixty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 124427 248854 373281 497708 746562 995416 1119843 1493124 1990832 2239686 2986248 3981664 4479372 5972496 7963328 8958744 11944992 17917488 23889984 35834976 71669952