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3913228296 = 2332194316637
BaseRepresentation
bin1110100100111111…
…0010000000001000
3101002201102121001100
43221033302000020
531003241301141
61444150021400
7165654614565
oct35117620010
911081377040
103913228296
111728a0837a
12912647860
134a4960003
14291a0786c
1517d8350b6
hexe93f2008

3913228296 has 96 divisors (see below), whose sum is σ = 11183702400. Its totient is φ = 1232703360.

The previous prime is 3913228229. The next prime is 3913228321. The reversal of 3913228296 is 6928223193.

It is a happy number.

3913228296 is a `hidden beast` number, since 39 + 1 + 322 + 8 + 296 = 666.

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 nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 586290 + ... + 592926.

It is an arithmetic number, because the mean of its divisors is an integer number (116496900).

Almost surely, 23913228296 is an apocalyptic number.

3913228296 is a gapful number since it is divisible by the number (36) 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 3913228296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5591851200).

3913228296 is an abundant number, since it is smaller than the sum of its proper divisors (7270474104).

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

3913228296 is a wasteful number, since it uses less digits than its factorization.

3913228296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7099 (or 7092 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 3913228296 is about 62555.8014575787. The cubic root of 3913228296 is about 1575.8385786812.

The spelling of 3913228296 in words is "three billion, nine hundred thirteen million, two hundred twenty-eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 431 456 684 862 1293 1368 1724 2586 3448 3879 5172 6637 7758 8189 10344 13274 15516 16378 19911 24567 26548 31032 32756 39822 49134 53096 59733 65512 73701 79644 98268 119466 126103 147402 159288 196536 238932 252206 294804 378309 477864 504412 589608 756618 1008824 1134927 1513236 2269854 2860547 3026472 4539708 5721094 8581641 9079416 11442188 17163282 22884376 25744923 34326564 51489846 54350393 68653128 102979692 108700786 163051179 205959384 217401572 326102358 434803144 489153537 652204716 978307074 1304409432 1956614148 3913228296