Search a number
-
+
86652816 = 2433797503
BaseRepresentation
bin1010010101000…
…11011110010000
320001001102022120
411022203132100
5134140342231
612333134240
72101352055
oct512433620
9201042276
1086652816
1144a055a8
122502a380
1314c4c573
14b71902c
157919d96
hex52a3790

86652816 has 80 divisors (see below), whose sum is σ = 232735104. Its totient is φ = 27758592.

The previous prime is 86652751. The next prime is 86652817. The reversal of 86652816 is 61825668.

It is not an unprimeable number, because it can be changed into a prime (86652817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172021 + ... + 172523.

Almost surely, 286652816 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 86652816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116367552).

86652816 is an abundant number, since it is smaller than the sum of its proper divisors (146082288).

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

86652816 is a wasteful number, since it uses less digits than its factorization.

86652816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 642 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 86652816 is about 9308.7494326574. The cubic root of 86652816 is about 442.5145553640.

The spelling of 86652816 in words is "eighty-six million, six hundred fifty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 97 111 148 194 222 291 296 388 444 503 582 592 776 888 1006 1164 1509 1552 1776 2012 2328 3018 3589 4024 4656 6036 7178 8048 10767 12072 14356 18611 21534 24144 28712 37222 43068 48791 55833 57424 74444 86136 97582 111666 146373 148888 172272 195164 223332 292746 297776 390328 446664 585492 780656 893328 1170984 1805267 2341968 3610534 5415801 7221068 10831602 14442136 21663204 28884272 43326408 86652816