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872082204 = 223723147843
BaseRepresentation
bin110011111110101…
…110101100011100
32020202222100212220
4303332232230130
53241223112304
6222311425340
730416401500
oct6376565434
92222870786
10872082204
114082a42a4
12204085250
1310b8a0396
1483b70300
1551864ad9
hex33faeb1c

872082204 has 72 divisors (see below), whose sum is σ = 2443488768. Its totient is φ = 241123680.

The previous prime is 872082199. The next prime is 872082217. The reversal of 872082204 is 402280278.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5694 + ... + 42149.

It is an arithmetic number, because the mean of its divisors is an integer number (33937344).

Almost surely, 2872082204 is an apocalyptic number.

872082204 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872082204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221744384).

872082204 is an abundant number, since it is smaller than the sum of its proper divisors (1571406564).

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

872082204 is a wasteful number, since it uses less digits than its factorization.

872082204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47895 (or 47886 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 872082204 is about 29531.0379770167. The cubic root of 872082204 is about 955.4012564170.

The spelling of 872082204 in words is "eight hundred seventy-two million, eighty-two thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 186 196 217 294 372 434 588 651 868 1302 1519 2604 3038 4557 6076 9114 18228 47843 95686 143529 191372 287058 334901 574116 669802 1004703 1339604 1483133 2009406 2344307 2966266 4018812 4449399 4688614 5932532 7032921 8898798 9377228 10381931 14065842 17797596 20763862 28131684 31145793 41527724 62291586 72673517 124583172 145347034 218020551 290694068 436041102 872082204