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252382620 = 22357619851
BaseRepresentation
bin11110000101100…
…00110110011100
3122120220100212110
433002300312130
51004102220440
641013234020
76153134250
oct1702606634
9576810773
10252382620
1111a510886
1270632910
1340398039
142573a260
1517255080
hexf0b0d9c

252382620 has 96 divisors (see below), whose sum is σ = 820947456. Its totient is φ = 56736000.

The previous prime is 252382619. The next prime is 252382639. The reversal of 252382620 is 26283252.

252382620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20695 + ... + 30545.

It is an arithmetic number, because the mean of its divisors is an integer number (8551536).

Almost surely, 2252382620 is an apocalyptic number.

252382620 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 252382620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410473728).

252382620 is an abundant number, since it is smaller than the sum of its proper divisors (568564836).

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

252382620 is a wasteful number, since it uses less digits than its factorization.

252382620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9931 (or 9929 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 252382620 is about 15886.5546925694. The cubic root of 252382620 is about 631.9554760868.

The spelling of 252382620 in words is "two hundred fifty-two million, three hundred eighty-two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 61 70 84 105 122 140 183 210 244 305 366 420 427 610 732 854 915 1220 1281 1708 1830 2135 2562 3660 4270 5124 6405 8540 9851 12810 19702 25620 29553 39404 49255 59106 68957 98510 118212 137914 147765 197020 206871 275828 295530 344785 413742 591060 600911 689570 827484 1034355 1201822 1379140 1802733 2068710 2403644 3004555 3605466 4137420 4206377 6009110 7210932 8412754 9013665 12018220 12619131 16825508 18027330 21031885 25238262 36054660 42063770 50476524 63095655 84127540 126191310 252382620