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252078620 = 225232292393
BaseRepresentation
bin11110000011001…
…10101000011100
3122120022220212012
433001212220130
51004013003440
641002530352
76150430043
oct1701465034
9576286765
10252078620
1111a323442
12705069b8
13402bc861
142569b55a
15171e4e65
hexf066a1c

252078620 has 48 divisors (see below), whose sum is σ = 555024960. Its totient is φ = 95986176.

The previous prime is 252078611. The next prime is 252078623. The reversal of 252078620 is 26870252.

It is a super-2 number, since 2×2520786202 = 127087261322208800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252078623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104144 + ... + 106536.

It is an arithmetic number, because the mean of its divisors is an integer number (11563020).

Almost surely, 2252078620 is an apocalyptic number.

252078620 is a gapful number since it is divisible by the number (20) 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 252078620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277512480).

252078620 is an abundant number, since it is smaller than the sum of its proper divisors (302946340).

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

252078620 is a wasteful number, since it uses less digits than its factorization.

252078620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2654 (or 2652 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 252078620 is about 15876.9839705153. The cubic root of 252078620 is about 631.7016397336.

The spelling of 252078620 in words is "two hundred fifty-two million, seventy-eight thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 229 230 458 460 916 1145 2290 2393 4580 4786 5267 9572 10534 11965 21068 23930 26335 47860 52670 55039 105340 110078 220156 275195 547997 550390 1095994 1100780 2191988 2739985 5479970 10959940 12603931 25207862 50415724 63019655 126039310 252078620