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468136125 = 3353294783
BaseRepresentation
bin11011111001110…
…011000010111101
31012121212210001000
4123321303002331
51424320324000
6114241440513
714413043232
oct3371630275
91177783030
10468136125
11220283666
12110940139
1375ca9932
144625d789
152b172000
hex1be730bd

468136125 has 64 divisors (see below), whose sum is σ = 895564800. Its totient is φ = 241012800.

The previous prime is 468136103. The next prime is 468136129. The reversal of 468136125 is 521631864.

It is a happy number.

It is not a de Polignac number, because 468136125 - 25 = 468136093 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 468136125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468136129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95484 + ... + 100266.

It is an arithmetic number, because the mean of its divisors is an integer number (13993200).

Almost surely, 2468136125 is an apocalyptic number.

468136125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

468136125 is a deficient number, since it is larger than the sum of its proper divisors (427428675).

468136125 is a wasteful number, since it uses less digits than its factorization.

468136125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4836 (or 4820 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 468136125 is about 21636.4536142132. The cubic root of 468136125 is about 776.4688757102.

Adding to 468136125 its reverse (521631864), we get a palindrome (989767989).

The spelling of 468136125 in words is "four hundred sixty-eight million, one hundred thirty-six thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 29 45 75 87 125 135 145 225 261 375 435 675 725 783 1125 1305 2175 3375 3625 3915 4783 6525 10875 14349 19575 23915 32625 43047 71745 97875 119575 129141 138707 215235 358725 416121 597875 645705 693535 1076175 1248363 1793625 2080605 3228525 3467675 3745089 5380875 6241815 10403025 16142625 17338375 18725445 31209075 52015125 93627225 156045375 468136125