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75276112 = 2429533061
BaseRepresentation
bin1000111110010…
…01111101010000
312020122102102011
410133021331100
5123232313422
611245232304
71602556612
oct437117520
9166572364
1075276112
113954506a
1221262694
13127981a2
149dd6db2
15691e077
hex47c9f50

75276112 has 40 divisors (see below), whose sum is σ = 153773640. Its totient is φ = 35642880.

The previous prime is 75276073. The next prime is 75276133. The reversal of 75276112 is 21167257.

It can be written as a sum of positive squares in 4 ways, for example, as 38987536 + 36288576 = 6244^2 + 6024^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23062 + ... + 26122.

It is an arithmetic number, because the mean of its divisors is an integer number (3844341).

Almost surely, 275276112 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 75276112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76886820).

75276112 is an abundant number, since it is smaller than the sum of its proper divisors (78497528).

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

75276112 is a wasteful number, since it uses less digits than its factorization.

75276112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3151 (or 3145 counting only the distinct ones).

The product of its digits is 5880, while the sum is 31.

The square root of 75276112 is about 8676.1807265640. The cubic root of 75276112 is about 422.2332141593.

The spelling of 75276112 in words is "seventy-five million, two hundred seventy-six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 53 58 106 116 212 232 424 464 848 1537 3061 3074 6122 6148 12244 12296 24488 24592 48976 88769 162233 177538 324466 355076 648932 710152 1297864 1420304 2595728 4704757 9409514 18819028 37638056 75276112