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75869136 = 243478363
BaseRepresentation
bin1001000010110…
…10101111010000
312021202112220000
410201122233100
5123410303021
611310050000
71610606550
oct441325720
9167675800
1075869136
113990a672
12214a9900
13129450a5
14a10d160
1569d9b26
hex485abd0

75869136 has 100 divisors (see below), whose sum is σ = 250986912. Its totient is φ = 21674304.

The previous prime is 75869107. The next prime is 75869137. The reversal of 75869136 is 63196857.

It is a happy number.

It is a super-2 number, since 2×758691362 = 11512251594772992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 75869091 and 75869100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75869137) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4891 + ... + 13253.

Almost surely, 275869136 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 75869136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125493456).

75869136 is an abundant number, since it is smaller than the sum of its proper divisors (175117776).

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

75869136 is a wasteful number, since it uses less digits than its factorization.

75869136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8390 (or 8375 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 75869136 is about 8710.2890881991. The cubic root of 75869136 is about 423.3390973375.

The spelling of 75869136 in words is "seventy-five million, eight hundred sixty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 8363 9072 16726 25089 33452 50178 58541 66904 75267 100356 117082 133808 150534 175623 200712 225801 234164 301068 351246 401424 451602 468328 526869 602136 677403 702492 903204 936656 1053738 1204272 1354806 1404984 1580607 1806408 2107476 2709612 2809968 3161214 3612816 4214952 4741821 5419224 6322428 8429904 9483642 10838448 12644856 18967284 25289712 37934568 75869136