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83135232 = 283236083
BaseRepresentation
bin1001111010010…
…00101100000000
312210102201002200
410331020230000
5132240311412
612125513200
72026431525
oct475105400
9183381080
1083135232
1142a22804
1223a12800
13142ba45b
14b08114c
1574729dc
hex4f48b00

83135232 has 54 divisors (see below), whose sum is σ = 239706012. Its totient is φ = 27710976.

The previous prime is 83135191. The next prime is 83135243. The reversal of 83135232 is 23253138.

It is a super-2 number, since 2×831352322 = 13822933599387648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83135196 and 83135205.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15738 + ... + 20345.

Almost surely, 283135232 is an apocalyptic number.

It is an amenable number.

83135232 is an abundant number, since it is smaller than the sum of its proper divisors (156570780).

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

83135232 is a wasteful number, since it uses less digits than its factorization.

83135232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36105 (or 36088 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 83135232 is about 9117.8523787129. The cubic root of 83135232 is about 436.4438428324.

It can be divided in two parts, 831 and 35232, that added together give a palindrome (36063).

The spelling of 83135232 in words is "eighty-three million, one hundred thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 36083 72166 108249 144332 216498 288664 324747 432996 577328 649494 865992 1154656 1298988 1731984 2309312 2597976 3463968 4618624 5195952 6927936 9237248 10391904 13855872 20783808 27711744 41567616 83135232