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252539280 = 24325789563
BaseRepresentation
bin11110000110101…
…11000110010000
3122121012022202200
433003113012100
51004122224110
641020443200
76154356060
oct1703270620
9577168680
10252539280
1111a608554
12706a9500
1340421436
142577b3a0
15172866c0
hexf0d7190

252539280 has 240 divisors, whose sum is σ = 981901440. Its totient is φ = 56973312.

The previous prime is 252539269. The next prime is 252539351. The reversal of 252539280 is 82935252.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 448279 + ... + 448841.

It is an arithmetic number, because the mean of its divisors is an integer number (4091256).

Almost surely, 2252539280 is an apocalyptic number.

252539280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252539280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490950720).

252539280 is an abundant number, since it is smaller than the sum of its proper divisors (729362160).

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

252539280 is a wasteful number, since it uses less digits than its factorization.

252539280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 252539280 is about 15891.4845121530. The cubic root of 252539280 is about 632.0862057274.

The spelling of 252539280 in words is "two hundred fifty-two million, five hundred thirty-nine thousand, two hundred eighty".