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385639884 = 2232719239337
BaseRepresentation
bin10110111111000…
…110010111001100
3222212122112110200
4112333012113030
51242210434014
6102133333500
712361612350
oct2677062714
9885575420
10385639884
11188757a53
12a9197290
1361b842a6
1439307460
1523cc8a09
hex16fc65cc

385639884 has 144 divisors (see below), whose sum is σ = 1181107200. Its totient is φ = 103638528.

The previous prime is 385639853. The next prime is 385639889. The reversal of 385639884 is 488936583.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 385639884.

It is not an unprimeable number, because it can be changed into a prime (385639889) by changing a digit.

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, 1144164 + ... + 1144500.

Almost surely, 2385639884 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 385639884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590553600).

385639884 is an abundant number, since it is smaller than the sum of its proper divisors (795467316).

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

385639884 is a wasteful number, since it uses less digits than its factorization.

385639884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 607 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 385639884 is about 19637.7158549562. The cubic root of 385639884 is about 727.8814437821.

It can be divided in two parts, 3 and 85639884, that multiplied together give a palindrome (256919652).

The spelling of 385639884 in words is "three hundred eighty-five million, six hundred thirty-nine thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 239 252 266 337 342 399 478 532 674 684 717 798 956 1011 1197 1348 1434 1596 1673 2022 2151 2359 2394 2868 3033 3346 4044 4302 4541 4718 4788 5019 6066 6403 6692 7077 8604 9082 9436 10038 12132 12806 13623 14154 15057 18164 19209 20076 21231 25612 27246 28308 30114 31787 38418 40869 42462 44821 54492 57627 60228 63574 76836 80543 81738 84924 89642 95361 115254 127148 134463 161086 163476 179284 190722 230508 241629 268926 286083 322172 381444 403389 483258 537852 563801 572166 724887 806778 966516 1127602 1144332 1449774 1530317 1613556 1691403 2255204 2899548 3060634 3382806 4590951 5074209 6121268 6765612 9181902 10148418 10712219 13772853 18363804 20296836 21424438 27545706 32136657 42848876 55091412 64273314 96409971 128546628 192819942 385639884