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3940982584 = 2372112194373
BaseRepresentation
bin1110101011100110…
…1001111100111000
3101011122122122202221
43222321221330320
531032342420314
61451020533424
7166442541100
oct35271517470
911148578687
103940982584
111742644600
1291b9b1274
134aa629a76
14295590200
15180eb8824
hexeae69f38

3940982584 has 144 divisors (see below), whose sum is σ = 9947788200. Its totient is φ = 1454302080.

The previous prime is 3940982561. The next prime is 3940982597. The reversal of 3940982584 is 4852890493.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 899022 + ... + 903394.

Almost surely, 23940982584 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 3940982584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4973894100).

3940982584 is an abundant number, since it is smaller than the sum of its proper divisors (6006805616).

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

3940982584 is a wasteful number, since it uses less digits than its factorization.

3940982584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4434 (or 4412 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 52.

The square root of 3940982584 is about 62777.2457503513. The cubic root of 3940982584 is about 1579.5553125524. Note that the first 3 decimals are identical.

The spelling of 3940982584 in words is "three billion, nine hundred forty million, nine hundred eighty-two thousand, five hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 49 56 76 77 88 98 121 133 152 154 196 209 242 266 308 392 418 484 532 539 616 836 847 931 968 1064 1078 1463 1672 1694 1862 2156 2299 2926 3388 3724 4312 4373 4598 5852 5929 6776 7448 8746 9196 10241 11704 11858 16093 17492 18392 20482 23716 30611 32186 34984 40964 47432 48103 61222 64372 81928 83087 96206 112651 122444 128744 166174 192412 214277 225302 244888 332348 336721 384824 428554 450604 529133 581609 664696 673442 857108 901208 913957 1058266 1163218 1346884 1714216 1827914 2116532 2326436 2357047 2693768 3655828 3703931 4071263 4233064 4652872 4714094 6397699 7311656 7407862 8142526 9428188 10053527 12795398 14815724 16285052 18856376 20107054 25590796 25927517 29631448 32570104 40214108 44783893 51181592 51855034 70374689 80428216 89567786 103710068 140749378 179135572 207420136 281498756 358271144 492622823 562997512 985245646 1970491292 3940982584