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649937568 = 25372314457
BaseRepresentation
bin100110101111010…
…100001010100000
31200021222020201210
4212233110022200
52312341000233
6144254230120
722051243500
oct4657241240
91607866653
10649937568
11303966795
121617b5340
13a4861757
1462465a00
153c0d4163
hex26bd42a0

649937568 has 144 divisors (see below), whose sum is σ = 2049110784. Its totient is φ = 179665920.

The previous prime is 649937567. The next prime is 649937609. The reversal of 649937568 is 865739946.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (649937567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143596 + ... + 148052.

It is an arithmetic number, because the mean of its divisors is an integer number (14229936).

Almost surely, 2649937568 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 649937568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024555392).

649937568 is an abundant number, since it is smaller than the sum of its proper divisors (1399173216).

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

649937568 is a wasteful number, since it uses less digits than its factorization.

649937568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4515 (or 4500 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 57.

The square root of 649937568 is about 25493.8731463071. The cubic root of 649937568 is about 866.2113705863.

The spelling of 649937568 in words is "six hundred forty-nine million, nine hundred thirty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 49 56 62 84 93 96 98 112 124 147 168 186 196 217 224 248 294 336 372 392 434 496 588 651 672 744 784 868 992 1176 1302 1488 1519 1568 1736 2352 2604 2976 3038 3472 4457 4557 4704 5208 6076 6944 8914 9114 10416 12152 13371 17828 18228 20832 24304 26742 31199 35656 36456 48608 53484 62398 71312 72912 93597 106968 124796 138167 142624 145824 187194 213936 218393 249592 276334 374388 414501 427872 436786 499184 552668 655179 748776 829002 873572 967169 998368 1105336 1310358 1497552 1658004 1747144 1934338 2210672 2620716 2901507 2995104 3316008 3494288 3868676 4421344 5241432 5803014 6632016 6770183 6988576 7737352 10482864 11606028 13264032 13540366 15474704 20310549 20965728 23212056 27080732 30949408 40621098 46424112 54161464 81242196 92848224 108322928 162484392 216645856 324968784 649937568