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3989305296 = 243359281557
BaseRepresentation
bin1110110111000111…
…1111011111010000
3101022000120201002000
43231301333133100
531132230232141
61455504354000
7200600351454
oct35561773720
911260521060
103989305296
11176794a129
12934015900
134b76488a2
1429bb6c664
151853615b6
hexedc7f7d0

3989305296 has 160 divisors (see below), whose sum is σ = 11707286400. Its totient is φ = 1300239360.

The previous prime is 3989305273. The next prime is 3989305321. The reversal of 3989305296 is 6925039893.

3989305296 is a `hidden beast` number, since 3 + 9 + 89 + 30 + 529 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7161850 + ... + 7162406.

It is an arithmetic number, because the mean of its divisors is an integer number (73170540).

Almost surely, 23989305296 is an apocalyptic number.

3989305296 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 3989305296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5853643200).

3989305296 is an abundant number, since it is smaller than the sum of its proper divisors (7717981104).

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

3989305296 is a wasteful number, since it uses less digits than its factorization.

3989305296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The square root of 3989305296 is about 63160.9475546401. The cubic root of 3989305296 is about 1585.9850572153.

The spelling of 3989305296 in words is "three billion, nine hundred eighty-nine million, three hundred five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 108 118 144 177 216 236 281 354 432 472 531 557 562 708 843 944 1062 1114 1124 1416 1593 1671 1686 2124 2228 2248 2529 2832 3186 3342 3372 4248 4456 4496 5013 5058 6372 6684 6744 7587 8496 8912 10026 10116 12744 13368 13488 15039 15174 16579 20052 20232 25488 26736 30078 30348 32863 33158 40104 40464 49737 60156 60696 65726 66316 80208 98589 99474 120312 121392 131452 132632 149211 156517 197178 198948 240624 262904 265264 295767 298422 313034 394356 397896 447633 469551 525808 591534 596844 626068 788712 795792 887301 895266 939102 1183068 1193688 1252136 1408653 1577424 1774602 1790532 1878204 2366136 2387376 2504272 2817306 3549204 3581064 3756408 4225959 4732272 5634612 7098408 7162128 7512816 8451918 9234503 11269224 14196816 16903836 18469006 22538448 27703509 33807672 36938012 55407018 67615344 73876024 83110527 110814036 147752048 166221054 221628072 249331581 332442108 443256144 498663162 664884216 997326324 1329768432 1994652648 3989305296