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85814736 = 2437972633
BaseRepresentation
bin1010001110101…
…10110111010000
312222110211200120
411013112313100
5133432032421
612303150240
72061261510
oct507266720
9188424616
1085814736
1144492977
12248a5380
1314a17c67
14b57b840
1578018c6
hex51d6dd0

85814736 has 80 divisors (see below), whose sum is σ = 256066944. Its totient is φ = 24256512.

The previous prime is 85814731. The next prime is 85814761. The reversal of 85814736 is 63741858.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85814731) 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, 31276 + ... + 33908.

Almost surely, 285814736 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 85814736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128033472).

85814736 is an abundant number, since it is smaller than the sum of its proper divisors (170252208).

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

85814736 is a wasteful number, since it uses less digits than its factorization.

85814736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2742 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 85814736 is about 9263.6243447152. The cubic root of 85814736 is about 441.0833085963.

The spelling of 85814736 in words is "eighty-five million, eight hundred fourteen thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 97 112 168 194 291 336 388 582 679 776 1164 1358 1552 2037 2328 2633 2716 4074 4656 5266 5432 7899 8148 10532 10864 15798 16296 18431 21064 31596 32592 36862 42128 55293 63192 73724 110586 126384 147448 221172 255401 294896 442344 510802 766203 884688 1021604 1532406 1787807 2043208 3064812 3575614 4086416 5363421 6129624 7151228 10726842 12259248 14302456 21453684 28604912 42907368 85814736