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71918808 = 23313353653
BaseRepresentation
bin1000100100101…
…10010011011000
312000022212001120
410102112103120
5121402400213
611045245240
71532204553
oct422262330
9160285046
1071918808
1137661735
1220103820
1311b91010
1497a169a
1564a9423
hex44964d8

71918808 has 64 divisors (see below), whose sum is σ = 194473440. Its totient is φ = 22032384.

The previous prime is 71918801. The next prime is 71918813. The reversal of 71918808 is 80881917.

It is a self number, because there is not a number n which added to its sum of digits gives 71918808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71918801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109810 + ... + 110462.

Almost surely, 271918808 is an apocalyptic number.

71918808 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71918808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97236720).

71918808 is an abundant number, since it is smaller than the sum of its proper divisors (122554632).

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

71918808 is a wasteful number, since it uses less digits than its factorization.

71918808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 42.

The square root of 71918808 is about 8480.4957402265. The cubic root of 71918808 is about 415.8603297141.

The spelling of 71918808 in words is "seventy-one million, nine hundred eighteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 353 653 706 1059 1306 1412 1959 2118 2612 2824 3918 4236 4589 5224 7836 8472 8489 9178 13767 15672 16978 18356 25467 27534 33956 36712 50934 55068 67912 101868 110136 203736 230509 461018 691527 922036 1383054 1844072 2766108 2996617 5532216 5993234 8989851 11986468 17979702 23972936 35959404 71918808