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828349990 = 251317374819
BaseRepresentation
bin110001010111111…
…001111000100110
32010201200112120021
4301113321320212
53144024144430
6214110225354
726345600356
oct6127717046
92121615507
10828349990
11395644676
121b14b525a
131027cab30
147c028b66
154cac707a
hex315f9e26

828349990 has 32 divisors (see below), whose sum is σ = 1700183520. Its totient is φ = 287860224.

The previous prime is 828349987. The next prime is 828349993. The reversal of 828349990 is 99943828.

It is an interprime number because it is at equal distance from previous prime (828349987) and next prime (828349993).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828349993) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 185200 + ... + 189619.

It is an arithmetic number, because the mean of its divisors is an integer number (53130735).

Almost surely, 2828349990 is an apocalyptic number.

828349990 is an abundant number, since it is smaller than the sum of its proper divisors (871833530).

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

828349990 is a wasteful number, since it uses less digits than its factorization.

828349990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374856.

The product of its (nonzero) digits is 1119744, while the sum is 52.

The square root of 828349990 is about 28781.0699940082. The cubic root of 828349990 is about 939.1564750541.

The spelling of 828349990 in words is "eight hundred twenty-eight million, three hundred forty-nine thousand, nine hundred ninety".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 170 221 442 1105 2210 374819 749638 1874095 3748190 4872647 6371923 9745294 12743846 24363235 31859615 48726470 63719230 82834999 165669998 414174995 828349990