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40315392 = 293213673
BaseRepresentation
bin1001100111001…
…0101000000000
32210212020022200
42121302220000
540310043032
64000033200
7666450405
oct231625000
983766280
1040315392
1120836607
1211602800
138477280
1454d62ac
15381547c
hex2672a00

40315392 has 120 divisors (see below), whose sum is σ = 125489364. Its totient is φ = 12386304.

The previous prime is 40315391. The next prime is 40315393. The reversal of 40315392 is 29351304.

It is an interprime number because it is at equal distance from previous prime (40315391) and next prime (40315393).

It can be written as a sum of positive squares in 2 ways, for example, as 37161216 + 3154176 = 6096^2 + 1776^2 .

It is a super-2 number, since 2×403153922 = 3250661664227328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40315391) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59568 + ... + 60240.

Almost surely, 240315392 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 40315392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62744682).

40315392 is an abundant number, since it is smaller than the sum of its proper divisors (85173972).

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

40315392 is a wasteful number, since it uses less digits than its factorization.

40315392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 40315392 is about 6349.4402902933. The cubic root of 40315392 is about 342.8916917566.

Adding to 40315392 its reverse (29351304), we get a palindrome (69666696).

The spelling of 40315392 in words is "forty million, three hundred fifteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 673 768 832 936 1152 1248 1346 1536 1664 1872 2019 2304 2496 2692 3328 3744 4038 4608 4992 5384 6057 6656 7488 8076 8749 9984 10768 12114 14976 16152 17498 19968 21536 24228 26247 29952 32304 34996 43072 48456 52494 59904 64608 69992 78741 86144 96912 104988 129216 139984 157482 172288 193824 209976 258432 279968 314964 344576 387648 419952 516864 559936 629928 775296 839904 1033728 1119872 1259856 1550592 1679808 2239744 2519712 3101184 3359616 4479488 5039424 6719232 10078848 13438464 20157696 40315392