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4821678444 = 22311711274051
BaseRepresentation
bin1000111110110010…
…01111100101101100
3110110000211122101010
410133121033211230
534333322202234
62114241145220
7230325406362
oct43731174554
913400748333
104821678444
112054791420
12b2692b210
135bac2498b
1433a523632
151d34806e9
hex11f64f96c

4821678444 has 96 divisors (see below), whose sum is σ = 12547325952. Its totient is φ = 1428840000.

The previous prime is 4821678443. The next prime is 4821678479. The reversal of 4821678444 is 4448761284.

It is a super-2 number, since 2×48216784442 = 46497166034668522272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4821678393 and 4821678402.

It is not an unprimeable number, because it can be changed into a prime (4821678443) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1188219 + ... + 1192269.

It is an arithmetic number, because the mean of its divisors is an integer number (130701312).

Almost surely, 24821678444 is an apocalyptic number.

4821678444 is a gapful number since it is divisible by the number (44) 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 4821678444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6273662976).

4821678444 is an abundant number, since it is smaller than the sum of its proper divisors (7725647508).

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

4821678444 is a wasteful number, since it uses less digits than its factorization.

4821678444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4267 (or 4265 counting only the distinct ones).

The product of its digits is 1376256, while the sum is 48.

The square root of 4821678444 is about 69438.3067477887. The cubic root of 4821678444 is about 1689.4010042972.

The spelling of 4821678444 in words is "four billion, eight hundred twenty-one million, six hundred seventy-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 127 132 142 213 254 284 381 426 508 762 781 852 1397 1524 1562 2343 2794 3124 4051 4191 4686 5588 8102 8382 9017 9372 12153 16204 16764 18034 24306 27051 36068 44561 48612 54102 89122 99187 108204 133683 178244 198374 267366 287621 297561 396748 514477 534732 575242 595122 862863 1028954 1150484 1190244 1543431 1725726 2057908 3086862 3163831 3451452 5659247 6173724 6327662 9491493 11318494 12655324 16977741 18982986 22636988 33955482 36527867 37965972 67910964 73055734 109583601 146111468 219167202 401806537 438334404 803613074 1205419611 1607226148 2410839222 4821678444