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252434896 = 2472279929
BaseRepresentation
bin11110000101111…
…01100111010000
3122121000000120121
433002331213100
51004110404041
641014320024
76153442540
oct1702754720
9577000517
10252434896
1111a54708a
1270659014
13403b5a7c
1425751320
15172657d1
hexf0bd9d0

252434896 has 40 divisors (see below), whose sum is σ = 561481920. Its totient is φ = 107698944.

The previous prime is 252434849. The next prime is 252434899. The reversal of 252434896 is 698434252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252434899) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20460 + ... + 30388.

It is an arithmetic number, because the mean of its divisors is an integer number (14037048).

Almost surely, 2252434896 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 252434896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280740960).

252434896 is an abundant number, since it is smaller than the sum of its proper divisors (309047024).

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

252434896 is a wasteful number, since it uses less digits than its factorization.

252434896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10171 (or 10165 counting only the distinct ones).

The product of its digits is 414720, while the sum is 43.

The square root of 252434896 is about 15888.1998980375. The cubic root of 252434896 is about 631.9991053771. Note that the first 3 decimals are identical.

The spelling of 252434896 in words is "two hundred fifty-two million, four hundred thirty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 227 454 908 1589 1816 3178 3632 6356 9929 12712 19858 25424 39716 69503 79432 139006 158864 278012 556024 1112048 2253883 4507766 9015532 15777181 18031064 31554362 36062128 63108724 126217448 252434896