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252878416 = 2472322549
BaseRepresentation
bin11110001001010…
…01111001010000
3122121211112222021
433010221321100
51004214102131
641032021224
76160300600
oct1704517120
9577745867
10252878416
1111a81a32a
1270831814
134050c8cb
1425828c00
1517301e11
hexf129e50

252878416 has 30 divisors (see below), whose sum is σ = 569945850. Its totient is φ = 108376128.

The previous prime is 252878413. The next prime is 252878419. The reversal of 252878416 is 614878252.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (252878413) and next prime (252878419).

It can be written as a sum of positive squares in only one way, i.e., 131790400 + 121088016 = 11480^2 + 11004^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252878411) 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 5 ways as a sum of consecutive naturals, for example, 160491 + ... + 162058.

It is an arithmetic number, because the mean of its divisors is an integer number (18998195).

Almost surely, 2252878416 is an apocalyptic number.

It is an amenable number.

252878416 is an abundant number, since it is smaller than the sum of its proper divisors (317067434).

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

252878416 is a wasteful number, since it uses less digits than its factorization.

252878416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322571 (or 322558 counting only the distinct ones).

The product of its digits is 215040, while the sum is 43.

The square root of 252878416 is about 15902.1513010033. The cubic root of 252878416 is about 632.3690228567.

The spelling of 252878416 in words is "two hundred fifty-two million, eight hundred seventy-eight thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 322549 645098 1290196 2257843 2580392 4515686 5160784 9031372 15804901 18062744 31609802 36125488 63219604 126439208 252878416