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252831376 = 24721971637
BaseRepresentation
bin11110001000111…
…10011010010000
3122121202011110001
433010132122100
51004211101001
641031015344
76160013500
oct1704363220
9577664401
10252831376
1111a797a56
127080a554
13404c4385
1425815a00
15172e3001
hexf11e690

252831376 has 60 divisors (see below), whose sum is σ = 573080508. Its totient is φ = 107740416.

The previous prime is 252831353. The next prime is 252831389. The reversal of 252831376 is 673138252.

It can be written as a sum of positive squares in 2 ways, for example, as 130507776 + 122323600 = 11424^2 + 11060^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 153630 + ... + 155266.

Almost surely, 2252831376 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 252831376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286540254).

252831376 is an abundant number, since it is smaller than the sum of its proper divisors (320249132).

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

252831376 is a wasteful number, since it uses less digits than its factorization.

252831376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1843 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The square root of 252831376 is about 15900.6721870492. The cubic root of 252831376 is about 632.3298096991.

The spelling of 252831376 in words is "two hundred fifty-two million, eight hundred thirty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 197 392 394 784 788 1379 1576 1637 2758 3152 3274 5516 6548 9653 11032 11459 13096 19306 22064 22918 26192 38612 45836 77224 80213 91672 154448 160426 183344 320852 322489 641704 644978 1283408 1289956 2257423 2579912 4514846 5159824 9029692 15801961 18059384 31603922 36118768 63207844 126415688 252831376