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4940327376 = 243416012381
BaseRepresentation
bin1001001100111011…
…10110100111010000
3110202022002122010000
410212131312213100
540104210434001
62134120210000
7233266042545
oct44635664720
913668078100
104940327376
112105760096
12b5a609900
1360969794a
1434c1aabcc
151ddabaa86
hex1267769d0

4940327376 has 100 divisors (see below), whose sum is σ = 14313680964. Its totient is φ = 1645056000.

The previous prime is 4940327363. The next prime is 4940327377. The reversal of 4940327376 is 6737230494.

It can be written as a sum of positive squares in 2 ways, for example, as 2418278976 + 2522048400 = 49176^2 + 50220^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4940327377) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 2073706 + ... + 2076086.

Almost surely, 24940327376 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 4940327376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7156840482).

4940327376 is an abundant number, since it is smaller than the sum of its proper divisors (9373353588).

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

4940327376 is a wasteful number, since it uses less digits than its factorization.

4940327376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4002 (or 3987 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The square root of 4940327376 is about 70287.4624381902. The cubic root of 4940327376 is about 1703.1461204938.

The spelling of 4940327376 in words is "four billion, nine hundred forty million, three hundred twenty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1601 2381 3202 4762 4803 6404 7143 9524 9606 12808 14286 14409 19048 19212 21429 25616 28572 28818 38096 38424 42858 43227 57144 57636 64287 76848 85716 86454 114288 115272 128574 129681 171432 172908 192861 230544 257148 259362 342864 345816 385722 514296 518724 691632 771444 1028592 1037448 1542888 2074896 3085776 3811981 7623962 11435943 15247924 22871886 30495848 34307829 45743772 60991696 68615658 91487544 102923487 137231316 182975088 205846974 274462632 308770461 411693948 548925264 617540922 823387896 1235081844 1646775792 2470163688 4940327376