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439880742 = 232721926249
BaseRepresentation
bin11010001110000…
…000110000100110
31010122201020221100
4122032000300212
51400102140432
6111352100530
713620632100
oct3216006046
91118636840
10439880742
11206334a04
12103394746
1370195a82
14425c6570
152894007c
hex1a380c26

439880742 has 72 divisors (see below), whose sum is σ = 1167075000. Its totient is φ = 119060928.

The previous prime is 439880737. The next prime is 439880743. The reversal of 439880742 is 247088934.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (439880743) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 3634 + ... + 29882.

It is an arithmetic number, because the mean of its divisors is an integer number (16209375).

Almost surely, 2439880742 is an apocalyptic number.

439880742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 439880742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583537500).

439880742 is an abundant number, since it is smaller than the sum of its proper divisors (727194258).

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

439880742 is a wasteful number, since it uses less digits than its factorization.

439880742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26290 (or 26280 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 439880742 is about 20973.3340697181. The cubic root of 439880742 is about 760.5217688968.

The spelling of 439880742 in words is "four hundred thirty-nine million, eight hundred eighty thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 171 266 294 342 399 441 798 882 931 1197 1862 2394 2793 5586 8379 16758 26249 52498 78747 157494 183743 236241 367486 472482 498731 551229 997462 1102458 1286201 1496193 1653687 2572402 2992386 3307374 3491117 3858603 4488579 6982234 7717206 8977158 10473351 11575809 20946702 23151618 24437819 31420053 48875638 62840106 73313457 146626914 219940371 439880742