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71806912 = 2617312129
BaseRepresentation
bin1000100011110…
…10111111000000
312000010011120021
410101322333000
5121340310122
611043023224
71531230412
oct421727700
9160104507
1071806912
1137595661
122006ab14
1311b520c8
1497729b2
1564861c7
hex447afc0

71806912 has 56 divisors (see below), whose sum is σ = 155813760. Its totient is φ = 32686080.

The previous prime is 71806901. The next prime is 71806919. The reversal of 71806912 is 21960817.

It is a happy number.

It is a super-2 number, since 2×718069122 = 10312465221951488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71806919) by changing a digit.

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, 32664 + ... + 34792.

Almost surely, 271806912 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 71806912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77906880).

71806912 is an abundant number, since it is smaller than the sum of its proper divisors (84006848).

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

71806912 is a wasteful number, since it uses less digits than its factorization.

71806912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 71806912 is about 8473.8959162831. The cubic root of 71806912 is about 415.6445435022.

The spelling of 71806912 in words is "seventy-one million, eight hundred six thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 136 248 272 496 527 544 992 1054 1088 1984 2108 2129 4216 4258 8432 8516 16864 17032 33728 34064 36193 65999 68128 72386 131998 136256 144772 263996 289544 527992 579088 1055984 1121983 1158176 2111968 2243966 2316352 4223936 4487932 8975864 17951728 35903456 71806912