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251255430 = 232519146933
BaseRepresentation
bin11101111100111…
…01101010000110
3122111210002122200
432332131222012
51003310133210
640533135330
76140431056
oct1676355206
9574702580
10251255430
11119910a18
127018a546
1340091c6a
1425525566
15170d10c0
hexef9da86

251255430 has 48 divisors (see below), whose sum is σ = 687651120. Its totient is φ = 63474624.

The previous prime is 251255399. The next prime is 251255437. The reversal of 251255430 is 34552152.

It is a happy number.

It is a super-2 number, since 2×2512554302 = 126258582208969800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 251255394 and 251255403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251255437) 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 23 ways as a sum of consecutive naturals, for example, 71757 + ... + 75176.

It is an arithmetic number, because the mean of its divisors is an integer number (14326065).

Almost surely, 2251255430 is an apocalyptic number.

251255430 is an abundant number, since it is smaller than the sum of its proper divisors (436395690).

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

251255430 is a wasteful number, since it uses less digits than its factorization.

251255430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146965 (or 146962 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 251255430 is about 15851.0387672228. The cubic root of 251255430 is about 631.0132598515.

The spelling of 251255430 in words is "two hundred fifty-one million, two hundred fifty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 146933 293866 440799 734665 881598 1322397 1469330 2203995 2644794 2791727 4407990 5583454 6611985 8375181 13223970 13958635 16750362 25125543 27917270 41875905 50251086 83751810 125627715 251255430