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2039752 = 2311131783
BaseRepresentation
bin111110001111111001000
310211122000101
413301333020
51010233002
6111415144
723223541
oct7617710
93748011
102039752
111173550
128244b4
13565570
143b14c8
152a4587
hex1f1fc8

2039752 has 32 divisors (see below), whose sum is σ = 4495680. Its totient is φ = 855360.

The previous prime is 2039743. The next prime is 2039761. The reversal of 2039752 is 2579302.

It is an interprime number because it is at equal distance from previous prime (2039743) and next prime (2039761).

It is a self number, because there is not a number n which added to its sum of digits gives 2039752.

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 7 ways as a sum of consecutive naturals, for example, 253 + ... + 2035.

It is an arithmetic number, because the mean of its divisors is an integer number (140490).

22039752 is an apocalyptic number.

2039752 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 2039752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247840).

2039752 is an abundant number, since it is smaller than the sum of its proper divisors (2455928).

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

2039752 is a wasteful number, since it uses less digits than its factorization.

2039752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 2039752 is about 1428.1988657046. The cubic root of 2039752 is about 126.8213745243.

It can be divided in two parts, 20397 and 52, that added together give a square (20449 = 1432).

The spelling of 2039752 in words is "two million, thirty-nine thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1144 1783 3566 7132 14264 19613 23179 39226 46358 78452 92716 156904 185432 254969 509938 1019876 2039752