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252126816 = 2537335977
BaseRepresentation
bin11110000011100…
…10011001100000
3122120102100222020
433001302121200
51004021024231
641003541440
76151020414
oct1701623140
9576370866
10252126816
1111a356677
127052a880
1340308786
14256b0d44
1517204396
hexf072660

252126816 has 48 divisors (see below), whose sum is σ = 670917744. Its totient is φ = 82888704.

The previous prime is 252126803. The next prime is 252126817. The reversal of 252126816 is 618621252.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252126817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10981 + ... + 24996.

It is an arithmetic number, because the mean of its divisors is an integer number (13977453).

Almost surely, 2252126816 is an apocalyptic number.

It is an amenable number.

252126816 is an abundant number, since it is smaller than the sum of its proper divisors (418790928).

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

252126816 is a wasteful number, since it uses less digits than its factorization.

252126816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36063 (or 36055 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 252126816 is about 15878.5016925401. The cubic root of 252126816 is about 631.7418964229.

The spelling of 252126816 in words is "two hundred fifty-two million, one hundred twenty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 7008 35977 71954 107931 143908 215862 287816 431724 575632 863448 1151264 1726896 2626321 3453792 5252642 7878963 10505284 15757926 21010568 31515852 42021136 63031704 84042272 126063408 252126816