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252755034 = 2372978863
BaseRepresentation
bin11110001000010…
…11110001011010
3122121121021201120
433010023301122
51004201130114
641025230110
76156245100
oct1704136132
9577537646
10252755034
1111a745664
1270792336
13404986bc
14257d5c70
15172ca5a9
hexf10bc5a

252755034 has 48 divisors (see below), whose sum is σ = 594171648. Its totient is φ = 71463168.

The previous prime is 252755033. The next prime is 252755051. The reversal of 252755034 is 430557252.

252755034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 252754986 and 252755004.

It is not an unprimeable number, because it can be changed into a prime (252755033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24087 + ... + 32949.

It is an arithmetic number, because the mean of its divisors is an integer number (12378576).

Almost surely, 2252755034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252755034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297085824).

252755034 is an abundant number, since it is smaller than the sum of its proper divisors (341416614).

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

252755034 is a wasteful number, since it uses less digits than its factorization.

252755034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8979 (or 8972 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 33.

The square root of 252755034 is about 15898.2714154716. The cubic root of 252755034 is about 632.2661596588.

The spelling of 252755034 in words is "two hundred fifty-two million, seven hundred fifty-five thousand, thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 97 98 147 194 291 294 582 679 1358 2037 4074 4753 8863 9506 14259 17726 26589 28518 53178 62041 124082 186123 372246 434287 859711 868574 1302861 1719422 2579133 2605722 5158266 6017977 12035954 18053931 36107862 42125839 84251678 126377517 252755034