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2426624442 = 2321141337887
BaseRepresentation
bin1001000010100011…
…0101100110111010
320021010010021221100
42100220311212322
514432203440232
61040442552230
7114063652554
oct22050654672
96233107840
102426624442
111035847950
12578808676
132c897b368
141903d04d4
15e3084c7c
hex90a359ba

2426624442 has 96 divisors (see below), whose sum is σ = 5899630464. Its totient is φ = 714470400.

The previous prime is 2426624423. The next prime is 2426624471. The reversal of 2426624442 is 2444266242.

2426624442 is a `hidden beast` number, since 2 + 4 + 26 + 624 + 4 + 4 + 2 = 666.

It is a super-2 number, since 2×24266244422 = 11777012365023622728, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2426624397 and 2426624406.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2735323 + ... + 2736209.

It is an arithmetic number, because the mean of its divisors is an integer number (61454484).

Almost surely, 22426624442 is an apocalyptic number.

2426624442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2426624442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949815232).

2426624442 is an abundant number, since it is smaller than the sum of its proper divisors (3473006022).

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

2426624442 is a wasteful number, since it uses less digits than its factorization.

2426624442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1281 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The square root of 2426624442 is about 49260.7799572845. The cubic root of 2426624442 is about 1343.7986152608.

The spelling of 2426624442 in words is "two billion, four hundred twenty-six million, six hundred twenty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 337 369 451 674 738 887 902 1011 1353 1774 2022 2661 2706 3033 3707 4059 5322 6066 7414 7983 8118 9757 11121 13817 15966 19514 22242 27634 29271 33363 36367 41451 58542 66726 72734 82902 87813 109101 124353 151987 175626 218202 248706 298919 303974 327303 400037 455961 597838 654606 800074 896757 911922 1200111 1367883 1793514 2400222 2690271 2735766 3288109 3600333 5380542 6576218 7200666 9864327 12255679 19728654 24511358 29592981 36767037 59185962 73534074 110301111 134812469 220602222 269624938 404437407 808874814 1213312221 2426624442