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52244014400 = 265276942461
BaseRepresentation
bin110000101001111111…
…000110010101000000
311222211222022220200022
4300221333012111000
51323443431430100
640000042313012
73526440536534
oct605177062500
9158758286608
1052244014400
112017a425306
12a1604b8768
134c079421b6
142758787bc4
15155b8a7e85
hexc29fc6540

52244014400 has 84 divisors (see below), whose sum is σ = 128723128380. Its totient is φ = 20869939200.

The previous prime is 52244014379. The next prime is 52244014409. The reversal of 52244014400 is 441044225.

It can be written as a sum of positive squares in 6 ways, for example, as 1525371136 + 50718643264 = 39056^2 + 225208^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 52244014400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52244014409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1209170 + ... + 1251630.

It is an arithmetic number, because the mean of its divisors is an integer number (1532418195).

Almost surely, 252244014400 is an apocalyptic number.

52244014400 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 52244014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64361564190).

52244014400 is an abundant number, since it is smaller than the sum of its proper divisors (76479113980).

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

52244014400 is a wasteful number, since it uses less digits than its factorization.

52244014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43252 (or 43237 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

Adding to 52244014400 its reverse (441044225), we get a palindrome (52685058625).

The spelling of 52244014400 in words is "fifty-two billion, two hundred forty-four million, fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 769 800 1538 1600 3076 3845 6152 7690 12304 15380 19225 24608 30760 38450 42461 49216 61520 76900 84922 123040 153800 169844 212305 246080 307600 339688 424610 615200 679376 849220 1061525 1230400 1358752 1698440 2123050 2717504 3396880 4246100 6793760 8492200 13587520 16984400 32652509 33968800 65305018 67937600 130610036 163262545 261220072 326525090 522440144 653050180 816312725 1044880288 1306100360 1632625450 2089760576 2612200720 3265250900 5224401440 6530501800 10448802880 13061003600 26122007200 52244014400