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3982691440 = 2457131513623
BaseRepresentation
bin1110110101100011…
…0000110001110000
3101021120010200120101
43231120300301300
531124032111230
61455110522144
7200460214210
oct35530606160
911246120511
103982691440
111764142032
12931966354
134b6171370
1429ad2a240
151849a6aca
hexed630c70

3982691440 has 160 divisors (see below), whose sum is σ = 11475265536. Its totient is φ = 1251763200.

The previous prime is 3982691429. The next prime is 3982691483. The reversal of 3982691440 is 441962893.

It is a super-2 number, since 2×39826914402 = 31723662212498547200, which contains 22 as substring.

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, 1097469 + ... + 1101091.

Almost surely, 23982691440 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 3982691440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5737632768).

3982691440 is an abundant number, since it is smaller than the sum of its proper divisors (7492574096).

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

3982691440 is a wasteful number, since it uses less digits than its factorization.

3982691440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3807 (or 3801 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The square root of 3982691440 is about 63108.5686733585. The cubic root of 3982691440 is about 1585.1081059522.

The spelling of 3982691440 in words is "three billion, nine hundred eighty-two million, six hundred ninety-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 151 182 208 260 280 302 364 455 520 560 604 728 755 910 1040 1057 1208 1456 1510 1820 1963 2114 2416 3020 3623 3640 3926 4228 5285 6040 7246 7280 7852 8456 9815 10570 12080 13741 14492 15704 16912 18115 19630 21140 25361 27482 28984 31408 36230 39260 42280 47099 50722 54964 57968 68705 72460 78520 84560 94198 101444 109928 126805 137410 144920 157040 188396 202888 219856 235495 253610 274820 289840 329693 376792 405776 470990 507220 547073 549640 659386 753584 941980 1014440 1094146 1099280 1318772 1648465 1883960 2028880 2188292 2637544 2735365 3296930 3767920 3829511 4376584 5275088 5470730 6593860 7111949 7659022 8753168 10941460 13187720 14223898 15318044 19147555 21882920 26375440 28447796 30636088 35559745 38295110 43765840 49783643 56895592 61272176 71119490 76590220 99567286 113791184 142238980 153180440 199134572 248918215 284477960 306360880 398269144 497836430 568955920 796538288 995672860 1991345720 3982691440