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3992221856 = 257371313677
BaseRepresentation
bin1110110111110100…
…0111100010100000
3101022020001212211202
43231331013202200
531134002044411
61500051100332
7200634216530
oct35575074240
911266055752
103992221856
111769561407
12934ba16a8
134b812a26c
1429c2cb4c0
1518573a83b
hexedf478a0

3992221856 has 96 divisors (see below), whose sum is σ = 9298219392. Its totient is φ = 1651553280.

The previous prime is 3992221847. The next prime is 3992221889. The reversal of 3992221856 is 6581222993.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3992221856.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1083890 + ... + 1087566.

It is an arithmetic number, because the mean of its divisors is an integer number (96856452).

Almost surely, 23992221856 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 3992221856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4649109696).

3992221856 is an abundant number, since it is smaller than the sum of its proper divisors (5305997536).

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

3992221856 is a wasteful number, since it uses less digits than its factorization.

3992221856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3862 (or 3854 counting only the distinct ones).

The product of its digits is 466560, while the sum is 47.

The square root of 3992221856 is about 63184.0316535753. The cubic root of 3992221856 is about 1586.3714648258.

The spelling of 3992221856 in words is "three billion, nine hundred ninety-two million, two hundred twenty-one thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 131 148 224 259 262 296 518 524 592 917 1036 1048 1184 1834 2072 2096 3668 3677 4144 4192 4847 7336 7354 8288 9694 14672 14708 19388 25739 29344 29416 33929 38776 51478 58832 67858 77552 102956 117664 135716 136049 155104 205912 271432 272098 411824 481687 542864 544196 823648 952343 963374 1085728 1088392 1904686 1926748 2176784 3371809 3809372 3853496 4353568 6743618 7618744 7706992 13487236 15237488 15413984 17822419 26974472 30474976 35644838 53948944 71289676 107897888 124756933 142579352 249513866 285158704 499027732 570317408 998055464 1996110928 3992221856