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4832820 = 2232526849
BaseRepresentation
bin10010011011111000110100
3100002112101100
4102123320310
52214122240
6251330100
756035566
oct22337064
910075340
104832820
112800a73
121750930
131002975
148db336
15656e30
hex49be34

4832820 has 36 divisors (see below), whose sum is σ = 14660100. Its totient is φ = 1288704.

The previous prime is 4832809. The next prime is 4832833. The reversal of 4832820 is 282384.

4832820 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1527696 + 3305124 = 1236^2 + 1818^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×48328202 = 46712298304800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13245 + ... + 13604.

It is an arithmetic number, because the mean of its divisors is an integer number (407225).

Almost surely, 24832820 is an apocalyptic number.

It is an amenable number.

4832820 is an abundant number, since it is smaller than the sum of its proper divisors (9827280).

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

4832820 is a wasteful number, since it uses less digits than its factorization.

4832820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26864 (or 26859 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4832820 is about 2198.3675761801. The cubic root of 4832820 is about 169.0701248379.

The spelling of 4832820 in words is "four million, eight hundred thirty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 26849 53698 80547 107396 134245 161094 241641 268490 322188 402735 483282 536980 805470 966564 1208205 1610940 2416410 4832820