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2404426401 = 3213143314341
BaseRepresentation
bin1000111101010000…
…1010001010100001
320012120100111221200
42033110022022201
514411013121101
61034331111413
7113404200336
oct21724121241
96176314850
102404426401
111024266163
125712a2569
132c41a8620
1418b49298d
15e114c986
hex8f50a2a1

2404426401 has 24 divisors (see below), whose sum is σ = 3743089896. Its totient is φ = 1478511360.

The previous prime is 2404426379. The next prime is 2404426411. The reversal of 2404426401 is 1046244042.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5875776 + 2398550625 = 2424^2 + 48975^2 .

It is not a de Polignac number, because 2404426401 - 25 = 2404426369 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2404426411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160491 + ... + 174831.

It is an arithmetic number, because the mean of its divisors is an integer number (155962079).

Almost surely, 22404426401 is an apocalyptic number.

It is an amenable number.

2404426401 is a deficient number, since it is larger than the sum of its proper divisors (1338663495).

2404426401 is a wasteful number, since it uses less digits than its factorization.

2404426401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15793 (or 15790 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2404426401 is about 49034.9508106208. The cubic root of 2404426401 is about 1339.6884998441.

The spelling of 2404426401 in words is "two billion, four hundred four million, four hundred twenty-six thousand, four hundred one".

Divisors: 1 3 9 13 39 117 1433 4299 12897 14341 18629 43023 55887 129069 167661 186433 559299 1677897 20550653 61651959 184955877 267158489 801475467 2404426401