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85736232 = 233661241
BaseRepresentation
bin1010001110000…
…11101100101000
312222022212000000
411013003230220
5133422024412
612301343000
72060513601
oct507035450
9188285000
1085736232
114443999a
1224867a60
13149bb2ca
14b55ada8
1577d84dc
hex51c3b28

85736232 has 112 divisors (see below), whose sum is σ = 245990580. Its totient is φ = 27993600.

The previous prime is 85736213. The next prime is 85736257. The reversal of 85736232 is 23263758.

It can be written as a sum of positive squares in 2 ways, for example, as 83283876 + 2452356 = 9126^2 + 1566^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 355632 + ... + 355872.

Almost surely, 285736232 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 85736232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122995290).

85736232 is an abundant number, since it is smaller than the sum of its proper divisors (160254348).

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

85736232 is a wasteful number, since it uses less digits than its factorization.

85736232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 307 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 85736232 is about 9259.3861567601. The cubic root of 85736232 is about 440.9487653932.

The spelling of 85736232 in words is "eighty-five million, seven hundred thirty-six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 81 108 122 162 183 216 241 243 244 324 366 482 486 488 549 648 723 729 732 964 972 1098 1446 1458 1464 1647 1928 1944 2169 2196 2892 2916 3294 4338 4392 4941 5784 5832 6507 6588 8676 9882 13014 13176 14701 14823 17352 19521 19764 26028 29402 29646 39042 39528 44103 44469 52056 58563 58804 59292 78084 88206 88938 117126 117608 118584 132309 156168 175689 176412 177876 234252 264618 351378 352824 355752 396927 468504 529236 702756 793854 1058472 1190781 1405512 1587708 2381562 3175416 3572343 4763124 7144686 9526248 10717029 14289372 21434058 28578744 42868116 85736232