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252595552 = 25111036967
BaseRepresentation
bin11110000111001…
…00110101100000
3122121022011221211
433003210311200
51004131024202
641021555504
76155012116
oct1703446540
9577264854
10252595552
1111a646860
1270715b94
1340440c31
1425793ab6
15172981d7
hexf0e4d60

252595552 has 48 divisors (see below), whose sum is σ = 547852032. Its totient is φ = 113685120.

The previous prime is 252595543. The next prime is 252595583. The reversal of 252595552 is 255595252.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 32773 + ... + 39739.

It is an arithmetic number, because the mean of its divisors is an integer number (11413584).

Almost surely, 2252595552 is an apocalyptic number.

252595552 is a gapful number since it is divisible by the number (22) 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 252595552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273926016).

252595552 is an abundant number, since it is smaller than the sum of its proper divisors (295256480).

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

252595552 is a wasteful number, since it uses less digits than its factorization.

252595552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7091 (or 7083 counting only the distinct ones).

The product of its digits is 225000, while the sum is 40.

The square root of 252595552 is about 15893.2549215068. The cubic root of 252595552 is about 632.1331503894.

The spelling of 252595552 in words is "two hundred fifty-two million, five hundred ninety-five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 103 176 206 352 412 824 1133 1648 2266 3296 4532 6967 9064 13934 18128 27868 36256 55736 76637 111472 153274 222944 306548 613096 717601 1226192 1435202 2452384 2870404 5740808 7893611 11481616 15787222 22963232 31574444 63148888 126297776 252595552