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75314052 = 223211238269
BaseRepresentation
bin1000111110100…
…11001110000100
312020201100110100
410133103032010
5123240022202
611250124100
71603105332
oct437231604
9166640410
1075314052
1139570620
1221280630
13127ac538
14a006b52
15692a41c
hex47d3384

75314052 has 72 divisors (see below), whose sum is σ = 216740160. Its totient is φ = 21827520.

The previous prime is 75314051. The next prime is 75314059. The reversal of 75314052 is 25041357.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75314051) 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 23 ways as a sum of consecutive naturals, for example, 4974 + ... + 13242.

It is an arithmetic number, because the mean of its divisors is an integer number (3010280).

Almost surely, 275314052 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 75314052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108370080).

75314052 is an abundant number, since it is smaller than the sum of its proper divisors (141426108).

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

75314052 is a wasteful number, since it uses less digits than its factorization.

75314052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8313 (or 8308 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 75314052 is about 8678.3668970608. The cubic root of 75314052 is about 422.3041389947.

The spelling of 75314052 in words is "seventy-five million, three hundred fourteen thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 759 828 1012 1518 2277 3036 4554 8269 9108 16538 24807 33076 49614 74421 90959 99228 148842 181918 190187 272877 297684 363836 380374 545754 570561 760748 818631 1091508 1141122 1637262 1711683 2092057 2282244 3274524 3423366 4184114 6276171 6846732 8368228 12552342 18828513 25104684 37657026 75314052