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86753748 = 223311012309
BaseRepresentation
bin1010010101111…
…00000111010100
320001020112202210
411022330013110
5134202104443
612335233420
72102252244
oct512740724
9201215683
1086753748
1144a74414
1225078870
1314c864a3
14b743b24
157939c33
hex52bc1d4

86753748 has 48 divisors (see below), whose sum is σ = 211115520. Its totient is φ = 27696000.

The previous prime is 86753741. The next prime is 86753759. The reversal of 86753748 is 84735768.

It is a junction number, because it is equal to n+sod(n) for n = 86753697 and 86753706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86753741) 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 15 ways as a sum of consecutive naturals, for example, 36418 + ... + 38726.

It is an arithmetic number, because the mean of its divisors is an integer number (4398240).

Almost surely, 286753748 is an apocalyptic number.

It is an amenable number.

86753748 is an abundant number, since it is smaller than the sum of its proper divisors (124361772).

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

86753748 is a wasteful number, since it uses less digits than its factorization.

86753748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2446 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The square root of 86753748 is about 9314.1692061074. The cubic root of 86753748 is about 442.6863003078.

It can be divided in two parts, 867 and 53748, that added together give a triangular number (54615 = T330).

The spelling of 86753748 in words is "eighty-six million, seven hundred fifty-three thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 12 31 62 93 101 124 186 202 303 372 404 606 1212 2309 3131 4618 6262 6927 9236 9393 12524 13854 18786 27708 37572 71579 143158 214737 233209 286316 429474 466418 699627 858948 932836 1399254 2798508 7229479 14458958 21688437 28917916 43376874 86753748