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86792472 = 23341310303
BaseRepresentation
bin1010010110001…
…01100100011000
320001022111220000
411023011210120
5134204324342
612340133000
72102503164
oct513054430
9201274800
1086792472
1144aa0518
1225097160
1314c9acc0
14b753ca4
15794644c
hex52c5918

86792472 has 80 divisors (see below), whose sum is σ = 261824640. Its totient is φ = 26702784.

The previous prime is 86792471. The next prime is 86792477. The reversal of 86792472 is 27429768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86792471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3273 + ... + 13575.

It is an arithmetic number, because the mean of its divisors is an integer number (3272808).

Almost surely, 286792472 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 86792472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130912320).

86792472 is an abundant number, since it is smaller than the sum of its proper divisors (175032168).

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

86792472 is a wasteful number, since it uses less digits than its factorization.

86792472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10334 (or 10321 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 86792472 is about 9316.2477425195. The cubic root of 86792472 is about 442.7521573445.

It can be divided in two parts, 867 and 92472, that added together give a palindrome (93339).

The spelling of 86792472 in words is "eighty-six million, seven hundred ninety-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8424 10303 20606 30909 41212 61818 82424 92727 123636 133939 185454 247272 267878 278181 370908 401817 535756 556362 741816 803634 834543 1071512 1112724 1205451 1607268 1669086 2225448 2410902 3214536 3338172 3616353 4821804 6676344 7232706 9643608 10849059 14465412 21698118 28930824 43396236 86792472