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252555030 = 233571319541
BaseRepresentation
bin11110000110110…
…10111100010110
3122121020010101000
433003122330112
51004123230110
641021044130
76154453020
oct1703327426
9577203330
10252555030
1111a619372
12706b6646
1340428660
1425783010
151728b1c0
hexf0daf16

252555030 has 256 divisors, whose sum is σ = 874137600. Its totient is φ = 50388480.

The previous prime is 252554993. The next prime is 252555041. The reversal of 252555030 is 30555252.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 252554985 and 252555003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 466560 + ... + 467100.

It is an arithmetic number, because the mean of its divisors is an integer number (3414600).

Almost surely, 2252555030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252555030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437068800).

252555030 is an abundant number, since it is smaller than the sum of its proper divisors (621582570).

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

252555030 is a wasteful number, since it uses less digits than its factorization.

252555030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 27.

The square root of 252555030 is about 15891.9800528443. The cubic root of 252555030 is about 632.0993457965.

The spelling of 252555030 in words is "two hundred fifty-two million, five hundred fifty-five thousand, thirty".