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440966052 = 22338349193
BaseRepresentation
bin11010010010001…
…001101110100100
31010201202101201000
4122102021232210
51400341403202
6111431233300
713633102212
oct3222115644
91121671630
10440966052
11206a0635a
12103818830
1370485a77
14427c9cb2
1528aa691c
hex1a489ba4

440966052 has 48 divisors (see below), whose sum is σ = 1157042880. Its totient is φ = 145214784.

The previous prime is 440966039. The next prime is 440966089. The reversal of 440966052 is 250669044.

440966052 is a `hidden beast` number, since 4 + 40 + 9 + 6 + 605 + 2 = 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 = 440965998 and 440966016.

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 15 ways as a sum of consecutive naturals, for example, 15633 + ... + 33560.

It is an arithmetic number, because the mean of its divisors is an integer number (24105060).

Almost surely, 2440966052 is an apocalyptic number.

It is an amenable number.

440966052 is an abundant number, since it is smaller than the sum of its proper divisors (716076828).

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

440966052 is a wasteful number, since it uses less digits than its factorization.

440966052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49289 (or 49281 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 440966052 is about 20999.1916987297. The cubic root of 440966052 is about 761.1467291781.

The spelling of 440966052 in words is "four hundred forty million, nine hundred sixty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 83 108 166 249 332 498 747 996 1494 2241 2988 4482 8964 49193 98386 147579 196772 295158 442737 590316 885474 1328211 1770948 2656422 4083019 5312844 8166038 12249057 16332076 24498114 36747171 48996228 73494342 110241513 146988684 220483026 440966052