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252850248 = 23357171093
BaseRepresentation
bin11110001001000…
…11000001001000
3122121210010100000
433010203001020
51004212201443
641031243000
76160122510
oct1704430110
9577703300
10252850248
1111a800152
1270819460
13404ccb41
142581c840
15172e88d3
hexf123048

252850248 has 192 divisors, whose sum is σ = 860146560. Its totient is φ = 67931136.

The previous prime is 252850237. The next prime is 252850249. The reversal of 252850248 is 842058252.

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

It is not an unprimeable number, because it can be changed into a prime (252850249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230790 + ... + 231882.

It is an arithmetic number, because the mean of its divisors is an integer number (4479930).

Almost surely, 2252850248 is an apocalyptic number.

252850248 is a gapful number since it is divisible by the number (28) 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 252850248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430073280).

252850248 is an abundant number, since it is smaller than the sum of its proper divisors (607296312).

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

252850248 is a wasteful number, since it uses less digits than its factorization.

252850248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 252850248 is about 15901.2656100073. The cubic root of 252850248 is about 632.3455422287.

The spelling of 252850248 in words is "two hundred fifty-two million, eight hundred fifty thousand, two hundred forty-eight".