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255206052 = 22344716759
BaseRepresentation
bin11110011011000…
…10001010100100
3122210012210220000
433031202022210
51010313043202
641153541300
76216133653
oct1715421244
9583183800
10255206052
1112106a0a2
1271574830
1340b461ca
1425c7319a
151761191c
hexf3622a4

255206052 has 60 divisors (see below), whose sum is σ = 681394560. Its totient is φ = 83253744.

The previous prime is 255206051. The next prime is 255206059. The reversal of 255206052 is 250602552.

255206052 is a `hidden beast` number, since 2 + 5 + 52 + 0 + 605 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (255206051) 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 19 ways as a sum of consecutive naturals, for example, 6849 + ... + 23607.

It is an arithmetic number, because the mean of its divisors is an integer number (11356576).

Almost surely, 2255206052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255206052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340697280).

255206052 is an abundant number, since it is smaller than the sum of its proper divisors (426188508).

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

255206052 is a wasteful number, since it uses less digits than its factorization.

255206052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16822 (or 16811 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 255206052 is about 15975.1698582519. The cubic root of 255206052 is about 634.3033275397.

The spelling of 255206052 in words is "two hundred fifty-five million, two hundred six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 282 324 423 564 846 1269 1692 2538 3807 5076 7614 15228 16759 33518 50277 67036 100554 150831 201108 301662 452493 603324 787673 904986 1357479 1575346 1809972 2363019 2714958 3150692 4726038 5429916 7089057 9452076 14178114 21267171 28356228 42534342 63801513 85068684 127603026 255206052