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3993225984 = 283211157561
BaseRepresentation
bin1110111000000011…
…1100101100000000
3101022021221220020200
43232000330230000
531134231212414
61500124405200
7200645601156
oct35600745400
911267856220
103993225984
11176a087870
129353a6800
134b83bc317
1429c4ad3d6
15185888109
hexee03cb00

3993225984 has 108 divisors (see below), whose sum is σ = 12560212392. Its totient is φ = 1210060800.

The previous prime is 3993225967. The next prime is 3993226049. The reversal of 3993225984 is 4895223993.

It is a self number, because there is not a number n which added to its sum of digits gives 3993225984.

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 11 ways as a sum of consecutive naturals, for example, 53437 + ... + 104124.

Almost surely, 23993225984 is an apocalyptic number.

It is an amenable number.

3993225984 is an abundant number, since it is smaller than the sum of its proper divisors (8566986408).

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

3993225984 is a wasteful number, since it uses less digits than its factorization.

3993225984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157594 (or 157577 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The square root of 3993225984 is about 63191.9772123012. The cubic root of 3993225984 is about 1586.5044556374.

The spelling of 3993225984 in words is "three billion, nine hundred ninety-three million, two hundred twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 576 704 768 792 1056 1152 1408 1584 2112 2304 2816 3168 4224 6336 8448 12672 25344 157561 315122 472683 630244 945366 1260488 1418049 1733171 1890732 2520976 2836098 3466342 3781464 5041952 5199513 5672196 6932684 7562928 10083904 10399026 11344392 13865368 15125856 15598539 20167808 20798052 22688784 27730736 30251712 31197078 40335616 41596104 45377568 55461472 60503424 62394156 83192208 90755136 110922944 121006848 124788312 166384416 181510272 221845888 249576624 332768832 363020544 443691776 499153248 665537664 998306496 1331075328 1996612992 3993225984