Search a number
-
+
40254624 = 253346591
BaseRepresentation
bin1001100110001…
…1110010100000
32210202010222000
42121203302200
540301121444
63554444000
7666105264
oct231436240
983663860
1040254624
11207a4993
1211593600
138455707
1454bc0a4
153802469
hex2663ca0

40254624 has 48 divisors (see below), whose sum is σ = 117411840. Its totient is φ = 13417920.

The previous prime is 40254553. The next prime is 40254629. The reversal of 40254624 is 42645204.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (40254629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22432 + ... + 24159.

It is an arithmetic number, because the mean of its divisors is an integer number (2446080).

Almost surely, 240254624 is an apocalyptic number.

It is an amenable number.

40254624 is an abundant number, since it is smaller than the sum of its proper divisors (77157216).

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

40254624 is a wasteful number, since it uses less digits than its factorization.

40254624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46610 (or 46596 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 40254624 is about 6344.6531820108. The cubic root of 40254624 is about 342.7193231789.

Adding to 40254624 its reverse (42645204), we get a palindrome (82899828).

It can be divided in two parts, 4025 and 4624, that added together give a square (8649 = 932).

The spelling of 40254624 in words is "forty million, two hundred fifty-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 46591 93182 139773 186364 279546 372728 419319 559092 745456 838638 1118184 1257957 1490912 1677276 2236368 2515914 3354552 4472736 5031828 6709104 10063656 13418208 20127312 40254624