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4130000052 = 2231934014447
BaseRepresentation
bin1111011000101010…
…1100110010110100
3101122211022201222220
43312022230302310
531424240000202
61521452122340
7204226264323
oct36612546264
911584281886
104130000052
11182a306192
129731663b0
1350a83a219
142b27140ba
151928a3abc
hexf62accb4

4130000052 has 48 divisors (see below), whose sum is σ = 9712937472. Its totient is φ = 1365811200.

The previous prime is 4130000033. The next prime is 4130000087. The reversal of 4130000052 is 2500000314.

It is a junction number, because it is equal to n+sod(n) for n = 4129999986 and 4130000040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 926493 + ... + 930939.

It is an arithmetic number, because the mean of its divisors is an integer number (202352864).

Almost surely, 24130000052 is an apocalyptic number.

It is an amenable number.

4130000052 is an abundant number, since it is smaller than the sum of its proper divisors (5582937420).

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

4130000052 is a wasteful number, since it uses less digits than its factorization.

4130000052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5048 (or 5046 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 4130000052 is about 64265.0764568128. The cubic root of 4130000052 is about 1604.4148968282.

Adding to 4130000052 its reverse (2500000314), we get a palindrome (6630000366).

The spelling of 4130000052 in words is "four billion, one hundred thirty million, fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 193 386 401 579 772 802 1158 1203 1604 2316 2406 4447 4812 8894 13341 17788 26682 53364 77393 154786 232179 309572 464358 858271 928716 1716542 1783247 2574813 3433084 3566494 5149626 5349741 7132988 10299252 10699482 21398964 344166671 688333342 1032500013 1376666684 2065000026 4130000052