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252556050 = 235213912113
BaseRepresentation
bin11110000110110…
…11001100010010
3122121020011202210
433003123030102
51004123243200
641021052550
76154456005
oct1703331422
9577204683
10252556050
1111a61a10a
12706b7156
1340428c66
142578353c
151728b650
hexf0db312

252556050 has 48 divisors (see below), whose sum is σ = 630897120. Its totient is φ = 66858240.

The previous prime is 252556033. The next prime is 252556067. The reversal of 252556050 is 50655252.

252556050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252556033) and next prime (252556067).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 252555999 and 252556017.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14794 + ... + 26906.

It is an arithmetic number, because the mean of its divisors is an integer number (13143690).

Almost surely, 2252556050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252556050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315448560).

252556050 is an abundant number, since it is smaller than the sum of its proper divisors (378341070).

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

252556050 is a wasteful number, since it uses less digits than its factorization.

252556050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12267 (or 12262 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The square root of 252556050 is about 15892.0121444706. The cubic root of 252556050 is about 632.1001967536.

The spelling of 252556050 in words is "two hundred fifty-two million, five hundred fifty-six thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 139 150 278 417 695 834 1390 2085 3475 4170 6950 10425 12113 20850 24226 36339 60565 72678 121130 181695 302825 363390 605650 908475 1683707 1816950 3367414 5051121 8418535 10102242 16837070 25255605 42092675 50511210 84185350 126278025 252556050