Search a number
-
+
252529980 = 22358295077
BaseRepresentation
bin11110000110101…
…00110100111100
3122121011212000020
433003110310330
51004121424410
641020332140
76154320003
oct1703246474
9577155006
10252529980
1111a60156a
12706a4050
134041a131
1425777c3a
1517283a70
hexf0d4d3c

252529980 has 48 divisors (see below), whose sum is σ = 708076320. Its totient is φ = 67246848.

The previous prime is 252529973. The next prime is 252530017. The reversal of 252529980 is 89925252.

252529980 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47202 + ... + 52278.

It is an arithmetic number, because the mean of its divisors is an integer number (14751590).

Almost surely, 2252529980 is an apocalyptic number.

252529980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252529980 is an abundant number, since it is smaller than the sum of its proper divisors (455546340).

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

252529980 is a wasteful number, since it uses less digits than its factorization.

252529980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5918 (or 5916 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 252529980 is about 15891.1918999174. The cubic root of 252529980 is about 632.0784465729.

The spelling of 252529980 in words is "two hundred fifty-two million, five hundred twenty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 829 1658 2487 3316 4145 4974 5077 8290 9948 10154 12435 15231 16580 20308 24870 25385 30462 49740 50770 60924 76155 101540 152310 304620 4208833 8417666 12626499 16835332 21044165 25252998 42088330 50505996 63132495 84176660 126264990 252529980