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253439956 = 2274112399
BaseRepresentation
bin11110001101100…
…10111111010100
3122122220002021001
433012302333110
51004340034311
641052033044
76165130000
oct1706627724
9578802231
10253439956
11120073210
1270a62784
1340678393
1425933700
15173b34c1
hexf1b2fd4

253439956 has 60 divisors (see below), whose sum is σ = 564681600. Its totient is φ = 98701680.

The previous prime is 253439947. The next prime is 253439957. The reversal of 253439956 is 659934352.

It is a super-2 number, since 2×2534399562 = 128463622594563872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253439957) 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 19 ways as a sum of consecutive naturals, for example, 104445 + ... + 106843.

It is an arithmetic number, because the mean of its divisors is an integer number (9411360).

Almost surely, 2253439956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253439956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282340800).

253439956 is an abundant number, since it is smaller than the sum of its proper divisors (311241644).

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

253439956 is a wasteful number, since it uses less digits than its factorization.

253439956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2419 counting only the distinct ones).

The product of its digits is 874800, while the sum is 46.

The square root of 253439956 is about 15919.7976117789. The cubic root of 253439956 is about 632.8367548547.

The spelling of 253439956 in words is "two hundred fifty-three million, four hundred thirty-nine thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 343 539 686 1078 1372 2156 2399 2401 3773 4798 4802 7546 9596 9604 15092 16793 26389 26411 33586 52778 52822 67172 105556 105644 117551 184723 235102 369446 470204 738892 822857 1293061 1645714 2586122 3291428 5172244 5759999 9051427 11519998 18102854 23039996 36205708 63359989 126719978 253439956