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257199012 = 223271020631
BaseRepresentation
bin11110101010010…
…00101110100100
3122220222001201100
433111020232210
51011320332022
641304400100
76242104230
oct1725105644
9586861640
10257199012
11122200474
1272176030
1341393385
14262315c0
15178a71ac
hexf548ba4

257199012 has 36 divisors (see below), whose sum is σ = 743020096. Its totient is φ = 73485360.

The previous prime is 257198987. The next prime is 257199013. The reversal of 257199012 is 210991752.

257199012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2571990122 = 132302663547552288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (257199013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 510064 + ... + 510567.

Almost surely, 2257199012 is an apocalyptic number.

It is an amenable number.

257199012 is an abundant number, since it is smaller than the sum of its proper divisors (485821084).

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

257199012 is a wasteful number, since it uses less digits than its factorization.

257199012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020648 (or 1020643 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 257199012 is about 16037.4253544639. The cubic root of 257199012 is about 635.9501859644.

257199012 divided by its sum of digits (36) gives a palindrome (7144417).

The spelling of 257199012 in words is "two hundred fifty-seven million, one hundred ninety-nine thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1020631 2041262 3061893 4082524 6123786 7144417 9185679 12247572 14288834 18371358 21433251 28577668 36742716 42866502 64299753 85733004 128599506 257199012