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439380864 = 27321329339
BaseRepresentation
bin11010001100000…
…110101110000000
31010121202212020100
4122030012232000
51344440141424
6111333242400
713613450526
oct3214065600
91117685210
10439380864
1120602338a
12103193400
137004c3a0
14424d6316
1528891dc9
hex1a306b80

439380864 has 96 divisors (see below), whose sum is σ = 1361669400. Its totient is φ = 135189504.

The previous prime is 439380839. The next prime is 439380881. The reversal of 439380864 is 468083934.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307 + ... + 29645.

Almost surely, 2439380864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 439380864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680834700).

439380864 is an abundant number, since it is smaller than the sum of its proper divisors (922288536).

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

439380864 is a wasteful number, since it uses less digits than its factorization.

439380864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29372 (or 29357 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 439380864 is about 20961.4136927832. The cubic root of 439380864 is about 760.2335754825.

The spelling of 439380864 in words is "four hundred thirty-nine million, three hundred eighty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976 29339 58678 88017 117356 176034 234712 264051 352068 381407 469424 528102 704136 762814 938848 1056204 1144221 1408272 1525628 1877696 2112408 2288442 2816544 3051256 3432663 3755392 4224816 4576884 5633088 6102512 6865326 8449632 9153768 11266176 12205024 13730652 16899264 18307536 24410048 27461304 33798528 36615072 48820096 54922608 73230144 109845216 146460288 219690432 439380864