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52256877600 = 2535242151719
BaseRepresentation
bin110000101010110000…
…001010110000100000
311222212212112102200010
4300222300022300200
51324010230040400
640001222124520
73526655062554
oct605260126040
9158785472603
1052256877600
1120186710654
12a164880740
134c0a4c7065
14275a375864
15155ca99450
hexc2ac0ac20

52256877600 has 144 divisors (see below), whose sum is σ = 170503462080. Its totient is φ = 13901798400.

The previous prime is 52256877581. The next prime is 52256877623. The reversal of 52256877600 is 677865225.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 52256877600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 984541 + ... + 1036259.

It is an arithmetic number, because the mean of its divisors is an integer number (1184051820).

Almost surely, 252256877600 is an apocalyptic number.

52256877600 is a gapful number since it is divisible by the number (50) 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 52256877600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85251731040).

52256877600 is an abundant number, since it is smaller than the sum of its proper divisors (118246584480).

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

52256877600 is a wasteful number, since it uses less digits than its factorization.

52256877600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52163 (or 52150 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 52256877600 in words is "fifty-two billion, two hundred fifty-six million, eight hundred seventy-seven thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 421 480 600 800 842 1200 1263 1684 2105 2400 2526 3368 4210 5052 6315 6736 8420 10104 10525 12630 13472 16840 20208 21050 25260 31575 33680 40416 42100 50520 51719 63150 67360 84200 101040 103438 126300 155157 168400 202080 206876 252600 258595 310314 336800 413752 505200 517190 620628 775785 827504 1010400 1034380 1241256 1292975 1551570 1655008 2068760 2482512 2585950 3103140 3878925 4137520 4965024 5171900 6206280 7757850 8275040 10343800 12412560 15515700 20687600 21773699 24825120 31031400 41375200 43547398 62062800 65321097 87094796 108868495 124125600 130642194 174189592 217736990 261284388 326605485 348379184 435473980 522568776 544342475 653210970 696758368 870947960 1045137552 1088684950 1306421940 1633027425 1741895920 2090275104 2177369900 2612843880 3266054850 3483791840 4354739800 5225687760 6532109700 8709479600 10451375520 13064219400 17418959200 26128438800 52256877600