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3993184256 = 2119720101
BaseRepresentation
bin1110111000000011…
…0010100000000000
3101022021212210000012
43232000302200000
531134223344011
61500123444052
7200645335415
oct35600624000
911267783005
103993184256
11176a059486
12935386628
134b83a6329
1429c49c10c
1518587aa8b
hexee032800

3993184256 has 48 divisors (see below), whose sum is σ = 8067133620. Its totient is φ = 1975910400.

The previous prime is 3993184241. The next prime is 3993184277. The reversal of 3993184256 is 6524813993.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3945849856 + 47334400 = 62816^2 + 6880^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 188606 + ... + 208706.

Almost surely, 23993184256 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 3993184256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033566810).

3993184256 is an abundant number, since it is smaller than the sum of its proper divisors (4073949364).

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

3993184256 is an equidigital number, since it uses as much as digits as its factorization.

3993184256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20220 (or 20200 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 50.

The square root of 3993184256 is about 63191.6470429439. The cubic root of 3993184256 is about 1586.4989294547.

The spelling of 3993184256 in words is "three billion, nine hundred ninety-three million, one hundred eighty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 512 776 1024 1552 2048 3104 6208 12416 20101 24832 40202 49664 80404 99328 160808 198656 321616 643232 1286464 1949797 2572928 3899594 5145856 7799188 10291712 15598376 20583424 31196752 41166848 62393504 124787008 249574016 499148032 998296064 1996592128 3993184256