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2083872 = 25372443
BaseRepresentation
bin111111100110000100000
310220212112110
413330300200
51013140442
6112355320
723466300
oct7746040
93825473
102083872
1111a370a
12845b40
1357c67b
143c3600
152b269c
hex1fcc20

2083872 has 72 divisors (see below), whose sum is σ = 6377616. Its totient is φ = 594048.

The previous prime is 2083867. The next prime is 2083883. The reversal of 2083872 is 2783802.

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, 4483 + ... + 4925.

It is an arithmetic number, because the mean of its divisors is an integer number (88578).

22083872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2083872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188808).

2083872 is an abundant number, since it is smaller than the sum of its proper divisors (4293744).

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

2083872 is a wasteful number, since it uses less digits than its factorization.

2083872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 2083872 is about 1443.5622605208. The cubic root of 2083872 is about 127.7292453930.

It can be divided in two parts, 20838 and 72, that added together give a triangular number (20910 = T204).

The spelling of 2083872 in words is "two million, eighty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 443 588 672 784 886 1176 1329 1568 1772 2352 2658 3101 3544 4704 5316 6202 7088 9303 10632 12404 14176 18606 21264 21707 24808 37212 42528 43414 49616 65121 74424 86828 99232 130242 148848 173656 260484 297696 347312 520968 694624 1041936 2083872