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828442974 = 231301106129
BaseRepresentation
bin110001011000010…
…000100101011110
32010201212021010010
4301120100211132
53144040133344
6214112224050
726346435432
oct6130204536
92121767103
10828442974
113956a8517
121b153b026
13102831258
147c0509c2
154cae48b9
hex3161095e

828442974 has 16 divisors (see below), whose sum is σ = 1658175120. Its totient is φ = 275932800.

The previous prime is 828442969. The next prime is 828443027. The reversal of 828442974 is 479244828.

It is a super-2 number, since 2×8284429742 = 1372635522339929352, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 45259 + ... + 60870.

It is an arithmetic number, because the mean of its divisors is an integer number (103635945).

Almost surely, 2828442974 is an apocalyptic number.

828442974 is an abundant number, since it is smaller than the sum of its proper divisors (829732146).

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

828442974 is a wasteful number, since it uses less digits than its factorization.

828442974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107435.

The product of its digits is 1032192, while the sum is 48.

The square root of 828442974 is about 28782.6853160020. The cubic root of 828442974 is about 939.1916144917.

The spelling of 828442974 in words is "eight hundred twenty-eight million, four hundred forty-two thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 1301 2602 3903 7806 106129 212258 318387 636774 138073829 276147658 414221487 828442974