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2083752 = 233311877
BaseRepresentation
bin111111100101110101000
310220212101000
413330232220
51013140002
6112355000
723466036
oct7745650
93825330
102083752
1111a3610
12845a60
1357c5b8
143c3556
152b261c
hex1fcba8

2083752 has 64 divisors (see below), whose sum is σ = 6321600. Its totient is φ = 630720.

The previous prime is 2083733. The next prime is 2083769. The reversal of 2083752 is 2573802.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1938 + ... + 2814.

It is an arithmetic number, because the mean of its divisors is an integer number (98775).

22083752 is an apocalyptic number.

2083752 is a gapful number since it is divisible by the number (22) 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 2083752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3160800).

2083752 is an abundant number, since it is smaller than the sum of its proper divisors (4237848).

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

2083752 is a wasteful number, since it uses less digits than its factorization.

2083752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2083752 is about 1443.5206960761. The cubic root of 2083752 is about 127.7267935783.

The spelling of 2083752 in words is "two million, eighty-three thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 877 1188 1754 2376 2631 3508 5262 7016 7893 9647 10524 15786 19294 21048 23679 28941 31572 38588 47358 57882 63144 77176 86823 94716 115764 173646 189432 231528 260469 347292 520938 694584 1041876 2083752