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3840436928 = 264710112641
BaseRepresentation
bin1110010011101000…
…0110101011000000
3100220122110102001202
43210322012223000
530331122440203
61433025520332
7164112114056
oct34472065300
910818412052
103840436928
1116a0910119
128b21a30a8
13492854ab3
1428609a1d6
15177257388
hexe4e86ac0

3840436928 has 56 divisors (see below), whose sum is σ = 7860694464. Its totient is φ = 1860608000.

The previous prime is 3840436927. The next prime is 3840436949. The reversal of 3840436928 is 8296340483.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is not an unprimeable number, because it can be changed into a prime (3840436927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 297488 + ... + 310128.

It is an arithmetic number, because the mean of its divisors is an integer number (140369544).

Almost surely, 23840436928 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 3840436928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3930347232).

3840436928 is an abundant number, since it is smaller than the sum of its proper divisors (4020257536).

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

3840436928 is a wasteful number, since it uses less digits than its factorization.

3840436928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12801 (or 12791 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 47.

The square root of 3840436928 is about 61971.2588866807. The cubic root of 3840436928 is about 1566.0064471070.

The spelling of 3840436928 in words is "three billion, eight hundred forty million, four hundred thirty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 47 64 94 101 188 202 376 404 752 808 1504 1616 3008 3232 4747 6464 9494 12641 18988 25282 37976 50564 75952 101128 151904 202256 303808 404512 594127 809024 1188254 1276741 2376508 2553482 4753016 5106964 9506032 10213928 19012064 20427856 38024128 40855712 60006827 81711424 120013654 240027308 480054616 960109232 1920218464 3840436928