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251000052 = 223711511951
BaseRepresentation
bin11101111010111…
…11010011110100
3122111022010100020
432331133103310
51003224000202
640523445140
76135315402
oct1675372364
9574263306
10251000052
11119757066
12700867b0
1340002954
142549a472
15170805bc
hexef5f4f4

251000052 has 48 divisors (see below), whose sum is σ = 598155264. Its totient is φ = 81900000.

The previous prime is 251000047. The next prime is 251000059. The reversal of 251000052 is 250000152.

It is a super-2 number, since 2×2510000522 = 126002052208005408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 250999995 and 251000040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251000059) by changing a digit.

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, 127677 + ... + 129627.

It is an arithmetic number, because the mean of its divisors is an integer number (12461568).

Almost surely, 2251000052 is an apocalyptic number.

It is an amenable number.

251000052 is an abundant number, since it is smaller than the sum of its proper divisors (347155212).

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

251000052 is a wasteful number, since it uses less digits than its factorization.

251000052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 251000052 is about 15842.9811588602. The cubic root of 251000052 is about 630.7993984275.

Adding to 251000052 its product of nonzero digits (100), we get a palindrome (251000152).

The spelling of 251000052 in words is "two hundred fifty-one million, fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 71 142 151 213 284 302 426 453 604 852 906 1812 1951 3902 5853 7804 10721 11706 21442 23412 32163 42884 64326 128652 138521 277042 294601 415563 554084 589202 831126 883803 1178404 1662252 1767606 3535212 20916671 41833342 62750013 83666684 125500026 251000052