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828575055 = 335721159193
BaseRepresentation
bin110001011000110…
…000110101001111
32010202002222022000
4301120300311033
53144103400210
6214115123343
726350525500
oct6130606517
92122088260
10828575055
11395788780
121b15a3553
131028793c9
147c086ba7
154cb1dac0
hex31630d4f

828575055 has 192 divisors, whose sum is σ = 1910822400. Its totient is φ = 336752640.

The previous prime is 828574991. The next prime is 828575063. The reversal of 828575055 is 550575828.

828575055 is a `hidden beast` number, since 8 + 28 + 575 + 0 + 55 = 666.

828575055 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 828575055 - 26 = 828574991 is a prime.

It is a super-3 number, since 3×8285750553 (a number of 28 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 828575055.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4293039 + ... + 4293231.

It is an arithmetic number, because the mean of its divisors is an integer number (9952200).

Almost surely, 2828575055 is an apocalyptic number.

828575055 is an abundant number, since it is smaller than the sum of its proper divisors (1082247345).

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

828575055 is a wasteful number, since it uses less digits than its factorization.

828575055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 560000, while the sum is 45.

The square root of 828575055 is about 28784.9796769079. The cubic root of 828575055 is about 939.2415244954.

The spelling of 828575055 in words is "eight hundred twenty-eight million, five hundred seventy-five thousand, fifty-five".