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2004244564 = 2271922337233
BaseRepresentation
bin111011101110110…
…0101100001010100
312011200100011200011
41313131211201110
513101041311224
6530513530004
7100444540420
oct16735454124
95150304604
102004244564
11939386673
1247b273904
1325c30233a
14150281b80
15bae50394
hex77765854

2004244564 has 144 divisors (see below), whose sum is σ = 4553273088. Its totient is φ = 754085376.

The previous prime is 2004244559. The next prime is 2004244579. The reversal of 2004244564 is 4654424002.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8601792 + ... + 8602024.

It is an arithmetic number, because the mean of its divisors is an integer number (31619952).

Almost surely, 22004244564 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 2004244564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276636544).

2004244564 is an abundant number, since it is smaller than the sum of its proper divisors (2549028524).

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

2004244564 is a wasteful number, since it uses less digits than its factorization.

2004244564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

The square root of 2004244564 is about 44768.7900662951. The cubic root of 2004244564 is about 1260.8117226940.

Adding to 2004244564 its reverse (4654424002), we get a palindrome (6658668566).

The spelling of 2004244564 in words is "two billion, four million, two hundred forty-four thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 19 23 28 37 38 46 74 76 92 133 148 161 233 259 266 322 361 437 466 518 532 644 703 722 851 874 932 1036 1406 1444 1631 1702 1748 2527 2812 3059 3262 3404 4427 4921 5054 5359 5957 6118 6524 8303 8621 8854 9842 10108 10718 11914 12236 13357 16169 16606 17242 17708 19684 21436 23828 26714 30989 32338 33212 34484 37513 53428 58121 60347 61978 64676 75026 84113 93499 101821 113183 116242 120694 123956 150052 163799 168226 186998 198283 203642 226366 232484 241388 307211 327598 336452 373996 396566 407284 452732 588791 614422 655196 712747 793132 1146593 1177582 1228844 1387981 1425494 1934599 2150477 2293186 2355164 2775962 2850988 3112181 3767377 3869198 4300954 4586372 5551924 6224362 7534754 7738396 8601908 12448724 13542193 15069508 21785267 26371639 27084386 43570534 52743278 54168772 71580163 87141068 105486556 143160326 286320652 501061141 1002122282 2004244564