Search a number
-
+
470142576 = 24331088293
BaseRepresentation
bin11100000001011…
…100111001110000
31012202122201101000
4130001130321300
51430324030301
6114352442000
714436101031
oct3401347160
91182581330
10470142576
11221424092
12111549300
137652cc97
1446622a88
152b41b786
hex1c05ce70

470142576 has 40 divisors (see below), whose sum is σ = 1349484560. Its totient is φ = 156714048.

The previous prime is 470142571. The next prime is 470142581. The reversal of 470142576 is 675241074.

470142576 is a `hidden beast` number, since 4 + 70 + 14 + 2 + 576 = 666.

It is an interprime number because it is at equal distance from previous prime (470142571) and next prime (470142581).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 470142576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470142571) 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 7 ways as a sum of consecutive naturals, for example, 543715 + ... + 544578.

It is an arithmetic number, because the mean of its divisors is an integer number (33737114).

Almost surely, 2470142576 is an apocalyptic number.

It is an amenable number.

470142576 is an abundant number, since it is smaller than the sum of its proper divisors (879341984).

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

470142576 is a wasteful number, since it uses less digits than its factorization.

470142576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088310 (or 1088298 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 470142576 is about 21682.7714095777. The cubic root of 470142576 is about 777.5766206200.

The spelling of 470142576 in words is "four hundred seventy million, one hundred forty-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1088293 2176586 3264879 4353172 6529758 8706344 9794637 13059516 17412688 19589274 26119032 29383911 39178548 52238064 58767822 78357096 117535644 156714192 235071288 470142576