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2404127425 = 52726132173
BaseRepresentation
bin1000111101001100…
…0001001011000001
320012112210022211111
42033103001023001
514410424034200
61034320443321
7113401513600
oct21723011301
96175708744
102404127425
111024081577
12571179541
132c410250b
1418b415a37
15e10de0ba
hex8f4c12c1

2404127425 has 36 divisors (see below), whose sum is σ = 3524790396. Its totient is φ = 1621468800.

The previous prime is 2404127423. The next prime is 2404127431. The reversal of 2404127425 is 5247214042.

It can be written as a sum of positive squares in 6 ways, for example, as 542377521 + 1861749904 = 23289^2 + 43148^2 .

It is not a de Polignac number, because 2404127425 - 21 = 2404127423 is a prime.

It is a super-3 number, since 3×24041274253 (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2404127423) 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 35 ways as a sum of consecutive naturals, for example, 58639 + ... + 90811.

Almost surely, 22404127425 is an apocalyptic number.

2404127425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2404127425 is a deficient number, since it is larger than the sum of its proper divisors (1120662971).

2404127425 is a wasteful number, since it uses less digits than its factorization.

2404127425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32258 (or 32246 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 31.

The square root of 2404127425 is about 49031.9021148476. The cubic root of 2404127425 is about 1339.6329701328.

The spelling of 2404127425 in words is "two billion, four hundred four million, one hundred twenty-seven thousand, four hundred twenty-five".

Divisors: 1 5 7 25 35 49 61 175 245 305 427 1225 1525 2135 2989 10675 14945 32173 74725 160865 225211 804325 1126055 1576477 1962553 5630275 7882385 9812765 13737871 39411925 49063825 68689355 96165097 343446775 480825485 2404127425