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2052363200 = 26521677681
BaseRepresentation
bin111101001010100…
…1001001111000000
312022000212212000212
41322111021033000
513200401110300
6535353133252
7101600541116
oct17225111700
95260785025
102052363200
11963561938
124933ba228
1326927c2c4
14156809ab6
15c02a7935
hex7a5493c0

2052363200 has 84 divisors (see below), whose sum is σ = 5080997712. Its totient is φ = 815923200.

The previous prime is 2052363197. The next prime is 2052363251. The reversal of 2052363200 is 23632502.

It is a happy number.

It is a congruent number.

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, 263360 + ... + 271040.

It is an arithmetic number, because the mean of its divisors is an integer number (60488068).

Almost surely, 22052363200 is an apocalyptic number.

2052363200 is a gapful number since it is divisible by the number (20) 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 2052363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540498856).

2052363200 is an abundant number, since it is smaller than the sum of its proper divisors (3028634512).

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

2052363200 is a wasteful number, since it uses less digits than its factorization.

2052363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7870 (or 7855 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 2052363200 is about 45303.0153521816. The cubic root of 2052363200 is about 1270.8220441053.

Adding to 2052363200 its reverse (23632502), we get a palindrome (2075995702).

The spelling of 2052363200 in words is "two billion, fifty-two million, three hundred sixty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 167 200 320 334 400 668 800 835 1336 1600 1670 2672 3340 4175 5344 6680 7681 8350 10688 13360 15362 16700 26720 30724 33400 38405 53440 61448 66800 76810 122896 133600 153620 192025 245792 267200 307240 384050 491584 614480 768100 1228960 1282727 1536200 2457920 2565454 3072400 5130908 6144800 6413635 10261816 12289600 12827270 20523632 25654540 32068175 41047264 51309080 64136350 82094528 102618160 128272700 205236320 256545400 410472640 513090800 1026181600 2052363200