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52252543440 = 24325199736341
BaseRepresentation
bin110000101010011111…
…101000100111010000
311222212120101020022200
4300222133220213100
51324003122342230
640000545203200
73526603201536
oct605237504720
9158776336280
1052252543440
11201842202a9
12a163330500
134c0963a376
142759968156
15155c4e0160
hexc2a7e89d0

52252543440 has 120 divisors (see below), whose sum is σ = 175574162088. Its totient is φ = 13926650880.

The previous prime is 52252543433. The next prime is 52252543451. The reversal of 52252543440 is 4434525225.

52252543440 is a `hidden beast` number, since 5 + 22 + 52 + 543 + 4 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1281353616 + 50971189824 = 35796^2 + 225768^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 52252543395 and 52252543404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1419670 + ... + 1456010.

Almost surely, 252252543440 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 52252543440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87787081044).

52252543440 is an abundant number, since it is smaller than the sum of its proper divisors (123321618648).

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

52252543440 is a wasteful number, since it uses less digits than its factorization.

52252543440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38357 (or 38348 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

The spelling of 52252543440 in words is "fifty-two billion, two hundred fifty-two million, five hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1997 3994 5991 7988 9985 11982 15976 17973 19970 23964 29955 31952 35946 36341 39940 47928 59910 71892 72682 79880 89865 95856 109023 119820 143784 145364 159760 179730 181705 218046 239640 287568 290728 327069 359460 363410 436092 479280 545115 581456 654138 718920 726820 872184 1090230 1308276 1437840 1453640 1635345 1744368 2180460 2616552 2907280 3270690 4360920 5233104 6541380 8721840 13082760 26165520 72572977 145145954 217718931 290291908 362864885 435437862 580583816 653156793 725729770 870875724 1088594655 1161167632 1306313586 1451459540 1741751448 2177189310 2612627172 2902919080 3265783965 3483502896 4354378620 5225254344 5805838160 6531567930 8708757240 10450508688 13063135860 17417514480 26126271720 52252543440