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828820620 = 223351534853
BaseRepresentation
bin110001011001101…
…100110010001100
32010202120110011000
4301121230302030
53144134224440
6214124300300
726352600435
oct6131546214
92122513130
10828820620
11395936221
121b16a1690
13102934104
147c10c48c
154cb6b730
hex3166cc8c

828820620 has 48 divisors (see below), whose sum is σ = 2578554720. Its totient is φ = 221018688.

The previous prime is 828820591. The next prime is 828820621. The reversal of 828820620 is 26028828.

828820620 is a `hidden beast` number, since 8 + 2 + 8 + 8 + 20 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (828820621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 766887 + ... + 767966.

It is an arithmetic number, because the mean of its divisors is an integer number (53719890).

Almost surely, 2828820620 is an apocalyptic number.

It is an amenable number.

828820620 is an abundant number, since it is smaller than the sum of its proper divisors (1749734100).

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

828820620 is a wasteful number, since it uses less digits than its factorization.

828820620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534871 (or 1534863 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 828820620 is about 28789.2448667901. The cubic root of 828820620 is about 939.3343030803.

The spelling of 828820620 in words is "eight hundred twenty-eight million, eight hundred twenty thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1534853 3069706 4604559 6139412 7674265 9209118 13813677 15348530 18418236 23022795 27627354 30697060 41441031 46045590 55254708 69068385 82882062 92091180 138136770 165764124 207205155 276273540 414410310 828820620