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2427054084 = 2233721335279
BaseRepresentation
bin1001000010101001…
…1110100000000100
320021010221010022000
42100222132200010
514432311212314
61040500105300
7114100422300
oct22052364004
96233833260
102427054084
111036010724
12578995230
132c8a9baa0
141904a2d00
15e311c209
hex90a9e804

2427054084 has 144 divisors (see below), whose sum is σ = 7882963200. Its totient is φ = 640084032.

The previous prime is 2427054067. The next prime is 2427054089. The reversal of 2427054084 is 4804507242.

2427054084 is a `hidden beast` number, since 2 + 42 + 70 + 540 + 8 + 4 = 666.

It is a super-2 number, since 2×24270540842 = 11781183053322158112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2427054089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51157 + ... + 86435.

It is an arithmetic number, because the mean of its divisors is an integer number (54742800).

Almost surely, 22427054084 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 2427054084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3941481600).

2427054084 is an abundant number, since it is smaller than the sum of its proper divisors (5455909116).

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

2427054084 is a wasteful number, since it uses less digits than its factorization.

2427054084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35319 (or 35304 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 2427054084 is about 49265.1406574669. The cubic root of 2427054084 is about 1343.8779185986.

The spelling of 2427054084 in words is "two billion, four hundred twenty-seven million, fifty-four thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 49 52 54 63 78 84 91 98 108 117 126 147 156 182 189 196 234 252 273 294 351 364 378 441 468 546 588 637 702 756 819 882 1092 1274 1323 1404 1638 1764 1911 2457 2548 2646 3276 3822 4914 5292 5733 7644 9828 11466 17199 22932 34398 35279 68796 70558 105837 141116 211674 246953 317511 423348 458627 493906 635022 740859 917254 952533 987812 1270044 1375881 1481718 1728671 1834508 1905066 2222577 2751762 2963436 3210389 3457342 3810132 4127643 4445154 5186013 5503524 6420778 6667731 6914684 8255286 8890308 9631167 10372026 12382929 12841556 13335462 15558039 16510572 19262334 20744052 22472723 24765858 26670924 28893501 31116078 38524668 44945446 46674117 49531716 57787002 62232156 67418169 86680503 89890892 93348234 115574004 134836338 173361006 186696468 202254507 269672676 346722012 404509014 606763521 809018028 1213527042 2427054084