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400790742 = 231117357211
BaseRepresentation
bin10111111000111…
…001010011010110
31000221011021112120
4113320321103112
51310100300432
6103434200410
712634444062
oct2770712326
91027137476
10400790742
11196266020
12b2283106
136505a4b1
143b32caa2
15252bcc2c
hex17e394d6

400790742 has 32 divisors (see below), whose sum is σ = 925893504. Its totient is φ = 114307200.

The previous prime is 400790707. The next prime is 400790743. The reversal of 400790742 is 247097004.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400790743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177484 + ... + 179727.

It is an arithmetic number, because the mean of its divisors is an integer number (28934172).

Almost surely, 2400790742 is an apocalyptic number.

400790742 is an abundant number, since it is smaller than the sum of its proper divisors (525102762).

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

400790742 is a wasteful number, since it uses less digits than its factorization.

400790742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357244.

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 400790742 is about 20019.7587897557. The cubic root of 400790742 is about 737.2914998842.

It can be divided in two parts, 4007 and 90742, that added together give a palindrome (94749).

The spelling of 400790742 in words is "four hundred million, seven hundred ninety thousand, seven hundred forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 1122 357211 714422 1071633 2143266 3929321 6072587 7858642 11787963 12145174 18217761 23575926 36435522 66798457 133596914 200395371 400790742