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2040752 = 247219137
BaseRepresentation
bin111110010001110110000
310211200101102
413302032300
51010301002
6111423532
723226500
oct7621660
93750342
102040752
11117427a
12824ba8
13565b5c
143b1a00
152a4a02
hex1f23b0

2040752 has 60 divisors (see below), whose sum is σ = 4876920. Its totient is φ = 822528.

The previous prime is 2040749. The next prime is 2040769. The reversal of 2040752 is 2570402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14828 + ... + 14964.

It is an arithmetic number, because the mean of its divisors is an integer number (81282).

22040752 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 2040752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438460).

2040752 is an abundant number, since it is smaller than the sum of its proper divisors (2836168).

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

2040752 is a wasteful number, since it uses less digits than its factorization.

With its successor (2040753) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (165).

2040752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 2040752 is about 1428.5489141083. The cubic root of 2040752 is about 126.8420961047.

The spelling of 2040752 in words is "two million, forty thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 137 152 196 266 274 304 392 532 548 784 931 959 1064 1096 1862 1918 2128 2192 2603 3724 3836 5206 6713 7448 7672 10412 13426 14896 15344 18221 20824 26852 36442 41648 53704 72884 107408 127547 145768 255094 291536 510188 1020376 2040752