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644140242 = 233192173191
BaseRepresentation
bin100110011001001…
…100110011010010
31122220001201022000
4212121030303102
52304344441432
6143530054430
721651046614
oct4631146322
91586051260
10644140242
11300667109
1215b87a416
13a35b1a95
1461796db4
153b83b57c
hex2664ccd2

644140242 has 96 divisors (see below), whose sum is σ = 1527413760. Its totient is φ = 201178080.

The previous prime is 644140213. The next prime is 644140243. The reversal of 644140242 is 242041446.

It is a happy number.

644140242 is a `hidden beast` number, since 6 + 4 + 414 + 0 + 242 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (644140243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3372367 + ... + 3372557.

It is an arithmetic number, because the mean of its divisors is an integer number (15910560).

Almost surely, 2644140242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 644140242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763706880).

644140242 is an abundant number, since it is smaller than the sum of its proper divisors (883273518).

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

644140242 is a wasteful number, since it uses less digits than its factorization.

644140242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 644140242 is about 25379.9180849742. The cubic root of 644140242 is about 863.6281916803.

Adding to 644140242 its reverse (242041446), we get a palindrome (886181688).

It can be divided in two parts, 6441402 and 42, that added together give a square (6441444 = 25382).

The spelling of 644140242 in words is "six hundred forty-four million, one hundred forty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 173 191 342 346 361 382 513 519 573 722 1026 1038 1083 1146 1557 1719 2166 3114 3249 3287 3438 3629 4671 5157 6498 6574 7258 9342 9747 9861 10314 10887 19494 19722 21774 29583 32661 33043 59166 62453 65322 66086 68951 88749 97983 99129 124906 137902 177498 187359 195966 198258 206853 297387 374718 413706 562077 594774 620559 627817 892161 1124154 1241118 1255634 1686231 1784322 1861677 1883451 3372462 3723354 3766902 5650353 11300706 11928523 16951059 23857046 33902118 35785569 71571138 107356707 214713414 322070121 644140242