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3806468424 = 2333113151679
BaseRepresentation
bin1110001011100010…
…0001100101001000
3100211021112122001000
43202320201211020
530243423442144
61425413455000
7163220306403
oct34270414510
910737478030
103806468424
11168371a080
128a2941460
134887c06a5
14281776d3a
15174297769
hexe2e21948

3806468424 has 128 divisors (see below), whose sum is σ = 11907072000. Its totient is φ = 1116244800.

The previous prime is 3806468371. The next prime is 3806468509. The reversal of 3806468424 is 4248646083.

It is a self number, because there is not a number n which added to its sum of digits gives 3806468424.

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 31 ways as a sum of consecutive naturals, for example, 47817 + ... + 99495.

It is an arithmetic number, because the mean of its divisors is an integer number (93024000).

Almost surely, 23806468424 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 3806468424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5953536000).

3806468424 is an abundant number, since it is smaller than the sum of its proper divisors (8100603576).

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

3806468424 is a wasteful number, since it uses less digits than its factorization.

3806468424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51736 (or 51726 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The square root of 3806468424 is about 61696.5835682982. The cubic root of 3806468424 is about 1561.3756799964.

The spelling of 3806468424 in words is "three billion, eight hundred six million, four hundred sixty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 31 33 36 44 54 62 66 72 88 93 99 108 124 132 186 198 216 248 264 279 297 341 372 396 558 594 682 744 792 837 1023 1116 1188 1364 1674 2046 2232 2376 2728 3069 3348 4092 6138 6696 8184 9207 12276 18414 24552 36828 51679 73656 103358 155037 206716 310074 413432 465111 568469 620148 930222 1136938 1240296 1395333 1602049 1705407 1860444 2273876 2790666 3204098 3410814 3720888 4547752 4806147 5116221 5581332 6408196 6821628 9612294 10232442 11162664 12816392 13643256 14418441 15348663 17622539 19224588 20464884 28836882 30697326 35245078 38449176 40929768 43255323 52867617 57673764 61394652 70490156 86510646 105735234 115347528 122789304 140980312 158602851 173021292 211470468 317205702 346042584 422940936 475808553 634411404 951617106 1268822808 1903234212 3806468424