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85183232 = 281983211
BaseRepresentation
bin1010001001111…
…00101100000000
312221021202102112
411010330230000
5133301330412
612241434452
72053021421
oct504745400
9187252375
1085183232
11440a1472
122463ba28
13148566a4
14b455648
157729722
hex513cb00

85183232 has 72 divisors (see below), whose sum is σ = 181997760. Its totient is φ = 39674880.

The previous prime is 85183207. The next prime is 85183247. The reversal of 85183232 is 23238158.

It is a super-3 number, since 3×851832323 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 403607 + ... + 403817.

Almost surely, 285183232 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 85183232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90998880).

85183232 is an abundant number, since it is smaller than the sum of its proper divisors (96814528).

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

85183232 is a wasteful number, since it uses less digits than its factorization.

85183232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 315 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 85183232 is about 9229.4762581633. The cubic root of 85183232 is about 439.9986776820.

The spelling of 85183232 in words is "eighty-five million, one hundred eighty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 83 128 152 166 211 256 304 332 422 608 664 844 1216 1328 1577 1688 2432 2656 3154 3376 4009 4864 5312 6308 6752 8018 10624 12616 13504 16036 17513 21248 25232 27008 32072 35026 50464 54016 64144 70052 100928 128288 140104 201856 256576 280208 332747 403712 513152 560416 665494 1026304 1120832 1330988 2241664 2661976 4483328 5323952 10647904 21295808 42591616 85183232