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75268956 = 22371947161
BaseRepresentation
bin1000111110010…
…00001101011100
312020122001121010
410133020031130
5123232101311
611245135220
71602530010
oct437101534
9166561533
1075268956
113953a754
122125a510
1312794b59
149dd4540
15691bda6
hex47c835c

75268956 has 48 divisors (see below), whose sum is σ = 211285760. Its totient is φ = 20373120.

The previous prime is 75268943. The next prime is 75268997. The reversal of 75268956 is 65986257.

It is a happy number.

It is a congruent number.

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, 21985 + ... + 25176.

Almost surely, 275268956 is an apocalyptic number.

75268956 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

75268956 is an abundant number, since it is smaller than the sum of its proper divisors (136016804).

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

75268956 is a wasteful number, since it uses less digits than its factorization.

75268956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47194 (or 47192 counting only the distinct ones).

The product of its digits is 907200, while the sum is 48.

The square root of 75268956 is about 8675.7683233245. The cubic root of 75268956 is about 422.2198340996.

The spelling of 75268956 in words is "seventy-five million, two hundred sixty-eight thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1596 47161 94322 141483 188644 282966 330127 565932 660254 896059 990381 1320508 1792118 1980762 2688177 3584236 3961524 5376354 6272413 10752708 12544826 18817239 25089652 37634478 75268956