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468060804 = 223237351397
BaseRepresentation
bin11011111001100…
…000101010000100
31012121201221201100
4123321200222010
51424310421204
6114240100100
714412310521
oct3371405204
91177657640
10468060804
11220232012
12110904630
1375c81573
1446240148
152b159a39
hex1be60a84

468060804 has 36 divisors (see below), whose sum is σ = 1215134284. Its totient is φ = 151803072.

The previous prime is 468060799. The next prime is 468060809. The reversal of 468060804 is 408060864.

468060804 is a `hidden beast` number, since 46 + 8 + 0 + 608 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (468060799) and next prime (468060809).

It can be written as a sum of positive squares in 2 ways, for example, as 441000000 + 27060804 = 21000^2 + 5202^2 .

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

It is a super-2 number, since 2×4680608042 = 438161832482252832, 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 (468060809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174367 + ... + 177030.

Almost surely, 2468060804 is an apocalyptic number.

It is an amenable number.

468060804 is an abundant number, since it is smaller than the sum of its proper divisors (747073480).

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

468060804 is a wasteful number, since it uses less digits than its factorization.

468060804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351444 (or 351439 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 468060804 is about 21634.7129400877. The cubic root of 468060804 is about 776.4272300250.

It can be divided in two parts, 468060 and 804, that added together give a palindrome (468864).

The spelling of 468060804 in words is "four hundred sixty-eight million, sixty thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 351397 702794 1054191 1405588 2108382 3162573 4216764 6325146 12650292 13001689 26003378 39005067 52006756 78010134 117015201 156020268 234030402 468060804