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464776116 = 22375533049
BaseRepresentation
bin11011101100111…
…110101110110100
31012101120001222020
4123230332232310
51422440313431
6114041433140
714342350260
oct3354765664
91171501866
10464776116
112193991a2
1210b79b7b0
13753a146c
1445a270a0
152ac0b696
hex1bb3ebb4

464776116 has 24 divisors (see below), whose sum is σ = 1239403200. Its totient is φ = 132793152.

The previous prime is 464776097. The next prime is 464776159. The reversal of 464776116 is 611677464.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2766441 + ... + 2766608.

It is an arithmetic number, because the mean of its divisors is an integer number (51641800).

Almost surely, 2464776116 is an apocalyptic number.

It is an amenable number.

464776116 is an abundant number, since it is smaller than the sum of its proper divisors (774627084).

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

464776116 is a wasteful number, since it uses less digits than its factorization.

464776116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5533063 (or 5533061 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 464776116 is about 21558.6668418991. Note that the first 3 decimals coincide. The cubic root of 464776116 is about 774.6067326969.

The spelling of 464776116 in words is "four hundred sixty-four million, seven hundred seventy-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 5533049 11066098 16599147 22132196 33198294 38731343 66396588 77462686 116194029 154925372 232388058 464776116