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252607512 = 23383211601
BaseRepresentation
bin11110000111001…
…11110000011000
3122121022210100210
433003213300120
51004131420022
641022131120
76155062023
oct1703476030
9577283323
10252607512
1111a654843
1270720aa0
1340446501
14257981ba
151729ba0c
hexf0e7c18

252607512 has 64 divisors (see below), whose sum is σ = 643224960. Its totient is φ = 82656000.

The previous prime is 252607441. The next prime is 252607517. The reversal of 252607512 is 215706252.

252607512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 252607512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252607517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420012 + ... + 420612.

It is an arithmetic number, because the mean of its divisors is an integer number (10050390).

Almost surely, 2252607512 is an apocalyptic number.

It is an amenable number.

252607512 is an abundant number, since it is smaller than the sum of its proper divisors (390617448).

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

252607512 is a wasteful number, since it uses less digits than its factorization.

252607512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 252607512 is about 15893.6311772987. The cubic root of 252607512 is about 632.1431270670.

The spelling of 252607512 in words is "two hundred fifty-two million, six hundred seven thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 83 166 211 249 332 422 498 601 633 664 844 996 1202 1266 1688 1803 1992 2404 2532 3606 4808 5064 7212 14424 17513 35026 49883 52539 70052 99766 105078 126811 140104 149649 199532 210156 253622 299298 380433 399064 420312 507244 598596 760866 1014488 1197192 1521732 3043464 10525313 21050626 31575939 42101252 63151878 84202504 126303756 252607512