Search a number
-
+
465814848 = 2632426119
BaseRepresentation
bin11011110000111…
…100010101000000
31012110111211211210
4123300330111000
51423222033343
6114120010120
714354234532
oct3360742500
91173454753
10465814848
11219a38654
12110000940
13756761b5
1445c17852
152ad64333
hex1bc3c540

465814848 has 28 divisors (see below), whose sum is σ = 1232468960. Its totient is φ = 155271552.

The previous prime is 465814831. The next prime is 465814861. The reversal of 465814848 is 848418564.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 465814797 and 465814806.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1212868 + ... + 1213251.

Almost surely, 2465814848 is an apocalyptic number.

465814848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

465814848 is an abundant number, since it is smaller than the sum of its proper divisors (766654112).

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

465814848 is a wasteful number, since it uses less digits than its factorization.

465814848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426134 (or 2426124 counting only the distinct ones).

The product of its digits is 983040, while the sum is 48.

The square root of 465814848 is about 21582.7442184723. The cubic root of 465814848 is about 775.1833616782.

The spelling of 465814848 in words is "four hundred sixty-five million, eight hundred fourteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 2426119 4852238 7278357 9704476 14556714 19408952 29113428 38817904 58226856 77635808 116453712 155271616 232907424 465814848