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402656080 = 24541122761
BaseRepresentation
bin11000000000000…
…000101101010000
31001001200001022011
4120000000231100
51311034443310
6103542152304
712656343301
oct3000005520
91031601264
10402656080
1119731a522
12b2a22694
1365561548
143b6967a8
152553a78a
hex18000b50

402656080 has 40 divisors (see below), whose sum is σ = 959016744. Its totient is φ = 157132800.

The previous prime is 402656071. The next prime is 402656083. The reversal of 402656080 is 80656204.

402656080 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4892944 + 397763136 = 2212^2 + 19944^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402656083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58101 + ... + 64660.

Almost surely, 2402656080 is an apocalyptic number.

402656080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402656080 is an abundant number, since it is smaller than the sum of its proper divisors (556360664).

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

402656080 is a wasteful number, since it uses less digits than its factorization.

402656080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122815 (or 122809 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 402656080 is about 20066.2921338248. The cubic root of 402656080 is about 738.4335503326.

It can be divided in two parts, 4026 and 56080, that added together give a palindrome (60106).

The spelling of 402656080 in words is "four hundred two million, six hundred fifty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 122761 245522 491044 613805 982088 1227610 1964176 2455220 4910440 5033201 9820880 10066402 20132804 25166005 40265608 50332010 80531216 100664020 201328040 402656080