Search a number
-
+
40038684 = 22372149457
BaseRepresentation
bin1001100010111…
…1000100011100
32210100011202020
42120233010130
540222214214
63550100140
7664215600
oct230570434
983304666
1040038684
1120667724
12114aa650
1383ab33a
145463500
1537ad4a9
hex262f11c

40038684 has 72 divisors (see below), whose sum is σ = 109645200. Its totient is φ = 11337984.

The previous prime is 40038679. The next prime is 40038721. The reversal of 40038684 is 48683004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87384 + ... + 87840.

It is an arithmetic number, because the mean of its divisors is an integer number (1522850).

Almost surely, 240038684 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 40038684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54822600).

40038684 is an abundant number, since it is smaller than the sum of its proper divisors (69606516).

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

40038684 is a wasteful number, since it uses less digits than its factorization.

40038684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 40038684 is about 6327.6128200136. The cubic root of 40038684 is about 342.1054016634.

The spelling of 40038684 in words is "forty million, thirty-eight thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 149 196 294 298 447 457 588 596 894 914 1043 1371 1788 1828 2086 2742 3129 3199 4172 5484 6258 6398 7301 9597 12516 12796 14602 19194 21903 22393 29204 38388 43806 44786 67179 68093 87612 89572 134358 136186 204279 268716 272372 408558 476651 817116 953302 1429953 1906604 2859906 3336557 5719812 6673114 10009671 13346228 20019342 40038684