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2003554242 = 23223311071459
BaseRepresentation
bin111011101101011…
…1100111111000010
312011122001002201200
41313122330333002
513100402213432
6530451042030
7100435634004
oct16732747702
95148032650
102003554242
11938a54a58
1247aba0316
1325c120071
14150142374
15bad65a7c
hex776bcfc2

2003554242 has 96 divisors (see below), whose sum is σ = 4722831360. Its totient is φ = 612010080.

The previous prime is 2003554213. The next prime is 2003554279. The reversal of 2003554242 is 2424553002.

It is a happy number.

2003554242 is a `hidden beast` number, since 200 + 35 + 5 + 424 + 2 = 666.

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, 1372509 + ... + 1373967.

It is an arithmetic number, because the mean of its divisors is an integer number (49196160).

Almost surely, 22003554242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003554242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2361415680).

2003554242 is an abundant number, since it is smaller than the sum of its proper divisors (2719277118).

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

2003554242 is a wasteful number, since it uses less digits than its factorization.

2003554242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 2003554242 is about 44761.0795446222. The cubic root of 2003554242 is about 1260.6669522683. Note that the first 3 decimals are identical.

The spelling of 2003554242 in words is "two billion, three million, five hundred fifty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 23 31 46 62 69 93 107 138 186 207 214 279 321 414 558 642 713 963 1426 1459 1926 2139 2461 2918 3317 4278 4377 4922 6417 6634 7383 8754 9951 12834 13131 14766 19902 22149 26262 29853 33557 44298 45229 59706 67114 76291 90458 100671 135687 152582 156113 201342 228873 271374 302013 312226 407061 457746 468339 604026 686619 814122 936678 1040267 1373238 1405017 2080534 2810034 3120801 3590599 4839503 6241602 7181198 9362403 9679006 10771797 14518509 18724806 21543594 29037018 32315391 43555527 64630782 87111054 111308569 222617138 333925707 667851414 1001777121 2003554242