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71288076 = 223191911637
BaseRepresentation
bin1000011111111…
…00010100001100
311222010210212010
410033330110030
5121222204301
611023541220
71523636646
oct417742414
9158123763
1071288076
1137270872
121ba5a810
13119ccbc2
149679896
1563d25d6
hex43fc50c

71288076 has 48 divisors (see below), whose sum is σ = 176117760. Its totient is φ = 22380480.

The previous prime is 71288069. The next prime is 71288081. The reversal of 71288076 is 67088217.

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 15 ways as a sum of consecutive naturals, for example, 42730 + ... + 44366.

It is an arithmetic number, because the mean of its divisors is an integer number (3669120).

Almost surely, 271288076 is an apocalyptic number.

71288076 is a gapful number since it is divisible by the number (76) 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 71288076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88058880).

71288076 is an abundant number, since it is smaller than the sum of its proper divisors (104829684).

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

71288076 is a wasteful number, since it uses less digits than its factorization.

71288076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 71288076 is about 8443.2266344094. The cubic root of 71288076 is about 414.6410521818.

It can be divided in two parts, 712 and 88076, that added together give a palindrome (88788).

The spelling of 71288076 in words is "seventy-one million, two hundred eighty-eight thousand, seventy-six".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 191 228 382 573 764 1146 1637 2292 3274 3629 4911 6548 7258 9822 10887 14516 19644 21774 31103 43548 62206 93309 124412 186618 312667 373236 625334 938001 1250668 1876002 3752004 5940673 11881346 17822019 23762692 35644038 71288076