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828473044 = 227295917293
BaseRepresentation
bin110001011000010…
…111111011010100
32010201220210100211
4301120113323110
53144042114134
6214113015204
726346622210
oct6130277324
92121823324
10828473044
11395719073
121b1554504
13102841b49
147c05b940
154caed764
hex31617ed4

828473044 has 48 divisors (see below), whose sum is σ = 1743235200. Its totient is φ = 336986496.

The previous prime is 828472987. The next prime is 828473069. The reversal of 828473044 is 440374828.

It is a junction number, because it is equal to n+sod(n) for n = 828472988 and 828473006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39262 + ... + 56554.

It is an arithmetic number, because the mean of its divisors is an integer number (36317400).

Almost surely, 2828473044 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 828473044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871617600).

828473044 is an abundant number, since it is smaller than the sum of its proper divisors (914762156).

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

828473044 is a wasteful number, since it uses less digits than its factorization.

828473044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17392 (or 17390 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 40.

The square root of 828473044 is about 28783.2076739199. The cubic root of 828473044 is about 939.2029776356.

The spelling of 828473044 in words is "eight hundred twenty-eight million, four hundred seventy-three thousand, forty-four".

Divisors: 1 2 4 7 14 28 29 58 59 116 118 203 236 406 413 812 826 1652 1711 3422 6844 11977 17293 23954 34586 47908 69172 121051 242102 484204 501497 1002994 1020287 2005988 2040574 3510479 4081148 7020958 7142009 14041916 14284018 28568036 29588323 59176646 118353292 207118261 414236522 828473044