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252841580 = 225311932113
BaseRepresentation
bin11110001001000…
…00111001101100
3122121202200102222
433010200321230
51004211412310
641031134512
76160055315
oct1704407154
9577680388
10252841580
1111a7a4692
1270814438
13404c8c04
142581960c
15172e6055
hexf120e6c

252841580 has 48 divisors (see below), whose sum is σ = 551195904. Its totient is φ = 97320960.

The previous prime is 252841577. The next prime is 252841597. The reversal of 252841580 is 85148252.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 252841580.

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 15 ways as a sum of consecutive naturals, for example, 118604 + ... + 120716.

It is an arithmetic number, because the mean of its divisors is an integer number (11483248).

Almost surely, 2252841580 is an apocalyptic number.

252841580 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 252841580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275597952).

252841580 is an abundant number, since it is smaller than the sum of its proper divisors (298354324).

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

252841580 is a wasteful number, since it uses less digits than its factorization.

252841580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 35.

The square root of 252841580 is about 15900.9930507500. The cubic root of 252841580 is about 632.3383162997.

The spelling of 252841580 in words is "two hundred fifty-two million, eight hundred forty-one thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 31 62 124 155 193 310 386 620 772 965 1930 2113 3860 4226 5983 8452 10565 11966 21130 23932 29915 42260 59830 65503 119660 131006 262012 327515 407809 655030 815618 1310060 1631236 2039045 4078090 8156180 12642079 25284158 50568316 63210395 126420790 252841580