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85733232 = 24313137393
BaseRepresentation
bin1010001110000…
…10111101110000
312222022200212220
411013002331300
5133421430412
612301321040
72060502054
oct507027560
9188280786
1085733232
1144437712
1224866180
13149b9b30
14b559c64
1577d768c
hex51c2f70

85733232 has 40 divisors (see below), whose sum is σ = 238515984. Its totient is φ = 26379264.

The previous prime is 85733231. The next prime is 85733233. The reversal of 85733232 is 23233758.

It is an interprime number because it is at equal distance from previous prime (85733231) and next prime (85733233).

It is a junction number, because it is equal to n+sod(n) for n = 85733193 and 85733202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85733231) 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 7 ways as a sum of consecutive naturals, for example, 68073 + ... + 69320.

Almost surely, 285733232 is an apocalyptic number.

It is an amenable number.

85733232 is an abundant number, since it is smaller than the sum of its proper divisors (152782752).

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

85733232 is a wasteful number, since it uses less digits than its factorization.

85733232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137417 (or 137411 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 85733232 is about 9259.2241575631. The cubic root of 85733232 is about 440.9436222477.

The spelling of 85733232 in words is "eighty-five million, seven hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 137393 274786 412179 549572 824358 1099144 1648716 1786109 2198288 3297432 3572218 5358327 6594864 7144436 10716654 14288872 21433308 28577744 42866616 85733232