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3924996516 = 22327171948221
BaseRepresentation
bin1110100111110010…
…1011000110100100
3101010112120111000100
43221330223012210
531014244342031
61445250144100
7166156630350
oct35174530644
911115514010
103924996516
111734615a81
12916582030
134a722065c
142933cc460
1517e8abde6
hexe9f2b1a4

3924996516 has 144 divisors (see below), whose sum is σ = 12638021760. Its totient is φ = 999889920.

The previous prime is 3924996487. The next prime is 3924996547. The reversal of 3924996516 is 6156994293.

3924996516 is a `hidden beast` number, since 3 + 92 + 499 + 65 + 1 + 6 = 666.

It is a super-2 number, since 2×39249965162 = 30811195301224276512, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 57286 + ... + 105506.

It is an arithmetic number, because the mean of its divisors is an integer number (87764040).

Almost surely, 23924996516 is an apocalyptic number.

3924996516 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 3924996516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6319010880).

3924996516 is an abundant number, since it is smaller than the sum of its proper divisors (8713025244).

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

3924996516 is a wasteful number, since it uses less digits than its factorization.

3924996516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48274 (or 48269 counting only the distinct ones).

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

The square root of 3924996516 is about 62649.7926253551. The cubic root of 3924996516 is about 1577.4166667100.

The spelling of 3924996516 in words is "three billion, nine hundred twenty-four million, nine hundred ninety-six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 19 21 28 34 36 38 42 51 57 63 68 76 84 102 114 119 126 133 153 171 204 228 238 252 266 306 323 342 357 399 476 532 612 646 684 714 798 969 1071 1197 1292 1428 1596 1938 2142 2261 2394 2907 3876 4284 4522 4788 5814 6783 9044 11628 13566 20349 27132 40698 48221 81396 96442 144663 192884 289326 337547 433989 578652 675094 819757 867978 916199 1012641 1350188 1639514 1735956 1832398 2025282 2459271 2748597 3037923 3279028 3664796 4050564 4918542 5497194 5738299 6075846 6413393 7377813 8245791 9837084 10994388 11476598 12151692 12826786 14755626 15575383 16491582 17214897 19240179 22953196 25653572 29511252 31150766 32983164 34429794 38480358 46726149 51644691 57720537 62301532 68859588 76960716 93452298 103289382 109027681 115441074 140178447 186904596 206578764 218055362 230882148 280356894 327083043 436110724 560713788 654166086 981249129 1308332172 1962498258 3924996516