Search a number
-
+
40124376 = 23334312
BaseRepresentation
bin1001100100001…
…1111111011000
32210111112022000
42121003333120
540232440001
63552001000
7665023455
oct231037730
983445260
1040124376
1120716046
1211530160
13840b346
14548682c
1537c8a86
hex2643fd8

40124376 has 48 divisors (see below), whose sum is σ = 111715800. Its totient is φ = 13343760.

The previous prime is 40124327. The next prime is 40124387. The reversal of 40124376 is 67342104.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92881 + ... + 93311.

Almost surely, 240124376 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 40124376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55857900).

40124376 is an abundant number, since it is smaller than the sum of its proper divisors (71591424).

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

40124376 is an equidigital number, since it uses as much as digits as its factorization.

40124376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 40124376 is about 6334.3804748373. The cubic root of 40124376 is about 342.3492891898.

The spelling of 40124376 in words is "forty million, one hundred twenty-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 431 862 1293 1724 2586 3448 3879 5172 7758 10344 11637 15516 23274 31032 46548 93096 185761 371522 557283 743044 1114566 1486088 1671849 2229132 3343698 4458264 5015547 6687396 10031094 13374792 20062188 40124376