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828820896 = 2538633551
BaseRepresentation
bin110001011001101…
…100110110100000
32010202120110112020
4301121230312200
53144134232041
6214124301440
726352601311
oct6131546640
92122513466
10828820896
11395936452
121b16a1880
13102934287
147c10c608
154cb6b866
hex3166cda0

828820896 has 24 divisors (see below), whose sum is σ = 2175655104. Its totient is φ = 276273600.

The previous prime is 828820891. The next prime is 828820897. The reversal of 828820896 is 698028828.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (828820891) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4316680 + ... + 4316871.

It is an arithmetic number, because the mean of its divisors is an integer number (90652296).

Almost surely, 2828820896 is an apocalyptic number.

It is an amenable number.

828820896 is an abundant number, since it is smaller than the sum of its proper divisors (1346834208).

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

828820896 is a wasteful number, since it uses less digits than its factorization.

828820896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8633564 (or 8633556 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The square root of 828820896 is about 28789.2496602464. The cubic root of 828820896 is about 939.3344073474.

The spelling of 828820896 in words is "eight hundred twenty-eight million, eight hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 8633551 17267102 25900653 34534204 51801306 69068408 103602612 138136816 207205224 276273632 414410448 828820896