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252542050500 = 22353168361367
BaseRepresentation
bin1110101100110010101…
…1011110000011000100
3220010212002102101211210
43223030223132003010
513114201231104000
6312003300331420
724150141003465
oct3531453360304
9803762371753
10252542050500
1198114449433
1240b3b9a3b70
131aa7892229c
14c31a28ad6c
15688109e350
hex3accade0c4

252542050500 has 48 divisors (see below), whose sum is σ = 735402455424. Its totient is φ = 67344546400.

The previous prime is 252542050493. The next prime is 252542050531. The reversal of 252542050500 is 5050245252.

252542050500 is digitally balanced in base 2 and base 3, because in such bases 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84179184 + ... + 84182183.

It is an arithmetic number, because the mean of its divisors is an integer number (15320884488).

Almost surely, 2252542050500 is an apocalyptic number.

252542050500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252542050500 is an abundant number, since it is smaller than the sum of its proper divisors (482860404924).

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

252542050500 is a wasteful number, since it uses less digits than its factorization.

252542050500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168361389 (or 168361377 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 30.

Adding to 252542050500 its reverse (5050245252), we get a palindrome (257592295752).

The spelling of 252542050500 in words is "two hundred fifty-two billion, five hundred forty-two million, fifty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 1500 168361367 336722734 505084101 673445468 841806835 1010168202 1683613670 2020336404 2525420505 3367227340 4209034175 5050841010 8418068350 10101682020 12627102525 16836136700 21045170875 25254205050 42090341750 50508410100 63135512625 84180683500 126271025250 252542050500