Search a number
-
+
464880816 = 24331076113
BaseRepresentation
bin11011101101011…
…000010010110000
31012101202101121000
4123231120102300
51423002141231
6114044002000
714343264441
oct3355302260
91171671530
10464880816
1121945a924
1210b830300
137540a00a
1445a532c8
152ac2c6e6
hex1bb584b0

464880816 has 40 divisors (see below), whose sum is σ = 1334381360. Its totient is φ = 154960128.

The previous prime is 464880811. The next prime is 464880841. The reversal of 464880816 is 618088464.

It is a super-2 number, since 2×4648808162 = 432228346169651712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (464880811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 537625 + ... + 538488.

It is an arithmetic number, because the mean of its divisors is an integer number (33359534).

Almost surely, 2464880816 is an apocalyptic number.

It is an amenable number.

464880816 is an abundant number, since it is smaller than the sum of its proper divisors (869500544).

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

464880816 is a wasteful number, since it uses less digits than its factorization.

464880816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076130 (or 1076118 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 464880816 is about 21561.0949629187. The cubic root of 464880816 is about 774.6648934852.

The spelling of 464880816 in words is "four hundred sixty-four million, eight hundred eighty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1076113 2152226 3228339 4304452 6456678 8608904 9685017 12913356 17217808 19370034 25826712 29055051 38740068 51653424 58110102 77480136 116220204 154960272 232440408 464880816