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3992411392 = 28231076337
BaseRepresentation
bin1110110111110111…
…0101110100000000
3101022020102111211121
43231331311310000
531134024131032
61500055122024
7200635636234
oct35575656400
911266374747
103992411392
111769680852
12935073314
134b8195608
1429c33a5c4
15185776a97
hexedf75d00

3992411392 has 72 divisors (see below), whose sum is σ = 8394757056. Its totient is φ = 1891270656.

The previous prime is 3992411329. The next prime is 3992411399. The reversal of 3992411392 is 2931142993.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3992411399) 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, 626848 + ... + 633184.

It is an arithmetic number, because the mean of its divisors is an integer number (116593848).

Almost surely, 23992411392 is an apocalyptic number.

3992411392 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3992411392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4197378528).

3992411392 is an abundant number, since it is smaller than the sum of its proper divisors (4402345664).

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

3992411392 is a wasteful number, since it uses less digits than its factorization.

3992411392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6483 (or 6469 counting only the distinct ones).

The product of its digits is 104976, while the sum is 43.

The square root of 3992411392 is about 63185.5315084078. The cubic root of 3992411392 is about 1586.3965694546.

The spelling of 3992411392 in words is "three billion, nine hundred ninety-two million, four hundred eleven thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 107 128 184 214 256 368 428 736 856 1472 1712 2461 2944 3424 4922 5888 6337 6848 9844 12674 13696 19688 25348 27392 39376 50696 78752 101392 145751 157504 202784 291502 315008 405568 583004 630016 678059 811136 1166008 1356118 1622272 2332016 2712236 4664032 5424472 9328064 10848944 15595357 18656128 21697888 31190714 37312256 43395776 62381428 86791552 124762856 173583104 249525712 499051424 998102848 1996205696 3992411392