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255379950 = 2325271719251
BaseRepresentation
bin11110011100011…
…00100111101110
3122210112122102200
433032030213232
51010334124300
641201402330
76220456650
oct1716144756
9583478380
10255379950
11121178811
12716393a6
1340ba73c7
1425cba6d0
1517648200
hexf38c9ee

255379950 has 288 divisors, whose sum is σ = 877443840. Its totient is φ = 51840000.

The previous prime is 255379897. The next prime is 255379963. The reversal of 255379950 is 59973552.

255379950 is a `hidden beast` number, since 2 + 553 + 7 + 9 + 95 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 255379896 and 255379905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1017325 + ... + 1017575.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2255379950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255379950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438721920).

255379950 is an abundant number, since it is smaller than the sum of its proper divisors (622063890).

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

255379950 is a wasteful number, since it uses less digits than its factorization.

255379950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 425250, while the sum is 45.

The square root of 255379950 is about 15980.6116904204. The cubic root of 255379950 is about 634.4473667515.

The spelling of 255379950 in words is "two hundred fifty-five million, three hundred seventy-nine thousand, nine hundred fifty".