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464064444 = 22334296893
BaseRepresentation
bin11011101010010…
…000111110111100
31012100012220202000
4123222100332330
51422300030234
6114014302300
714333324364
oct3352207674
91170186660
10464064444
11218a52538
1210b4b7990
13751b255c
14458bd9a4
152ab1a899
hex1ba90fbc

464064444 has 24 divisors (see below), whose sum is σ = 1203130320. Its totient is φ = 154688112.

The previous prime is 464064439. The next prime is 464064479. The reversal of 464064444 is 444460464.

464064444 is a `hidden beast` number, since 4 + 6 + 4 + 0 + 644 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 464064399 and 464064408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2148339 + ... + 2148554.

It is an arithmetic number, because the mean of its divisors is an integer number (50130430).

Almost surely, 2464064444 is an apocalyptic number.

It is an amenable number.

464064444 is an abundant number, since it is smaller than the sum of its proper divisors (739065876).

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

464064444 is a wasteful number, since it uses less digits than its factorization.

464064444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296906 (or 4296898 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The square root of 464064444 is about 21542.1550453988. The cubic root of 464064444 is about 774.2111676696.

The spelling of 464064444 in words is "four hundred sixty-four million, sixty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 4296893 8593786 12890679 17187572 25781358 38672037 51562716 77344074 116016111 154688148 232032222 464064444