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75116356 = 2274389701
BaseRepresentation
bin1000111101000…
…10111101000100
312020100022021021
410132202331010
5123212210411
611242000524
71601323060
oct436427504
9166308237
1075116356
1139446037
12211a6144
1312740563
149d94aa0
1568dba71
hex47a2f44

75116356 has 48 divisors (see below), whose sum is σ = 155675520. Its totient is φ = 31046400.

The previous prime is 75116339. The next prime is 75116359. The reversal of 75116356 is 65361157.

It is not an unprimeable number, because it can be changed into a prime (75116359) 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 15 ways as a sum of consecutive naturals, for example, 106806 + ... + 107506.

It is an arithmetic number, because the mean of its divisors is an integer number (3243240).

Almost surely, 275116356 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 75116356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77837760).

75116356 is an abundant number, since it is smaller than the sum of its proper divisors (80559164).

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

75116356 is a wasteful number, since it uses less digits than its factorization.

75116356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 842 counting only the distinct ones).

The product of its digits is 18900, while the sum is 34.

The square root of 75116356 is about 8666.9692511281. The cubic root of 75116356 is about 421.9343054149.

The spelling of 75116356 in words is "seventy-five million, one hundred sixteen thousand, three hundred fifty-six".

Divisors: 1 2 4 7 14 28 43 86 89 172 178 301 356 602 623 701 1204 1246 1402 2492 2804 3827 4907 7654 9814 15308 19628 26789 30143 53578 60286 62389 107156 120572 124778 211001 249556 422002 436723 844004 873446 1746892 2682727 5365454 10730908 18779089 37558178 75116356