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252988208 = 24112296277
BaseRepresentation
bin11110001010001…
…00101100110000
3122122001010120122
433011010230300
51004231110313
641034225412
76161235644
oct1705045460
9578033518
10252988208
1111a894870
1270885268
134054a885
1425856c24
1517324708
hexf144b30

252988208 has 40 divisors (see below), whose sum is σ = 537145680. Its totient is φ = 114474240.

The previous prime is 252988207. The next prime is 252988217. The reversal of 252988208 is 802889252.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (252988207) 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, 37166 + ... + 43442.

It is an arithmetic number, because the mean of its divisors is an integer number (13428642).

Almost surely, 2252988208 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 252988208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268572840).

252988208 is an abundant number, since it is smaller than the sum of its proper divisors (284157472).

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

252988208 is a wasteful number, since it uses less digits than its factorization.

252988208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6525 (or 6519 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 44.

The square root of 252988208 is about 15905.6030379235. The cubic root of 252988208 is about 632.4605279830.

The spelling of 252988208 in words is "two hundred fifty-two million, nine hundred eighty-eight thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 44 88 176 229 458 916 1832 2519 3664 5038 6277 10076 12554 20152 25108 40304 50216 69047 100432 138094 276188 552376 1104752 1437433 2874866 5749732 11499464 15811763 22998928 31623526 63247052 126494104 252988208