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4649857824 = 253229257823
BaseRepresentation
bin1000101010010011…
…10011001100100000
3110000001112020210110
410111021303030200
534010330422244
62045222331320
7223141065543
oct42511631440
913001466713
104649857824
111a767a6007
12a99289b40
13591455a81
1432179885a
151c33409b9
hex115273320

4649857824 has 96 divisors (see below), whose sum is σ = 12321832320. Its totient is φ = 1535311872.

The previous prime is 4649857811. The next prime is 4649857841. The reversal of 4649857824 is 4287589464.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5649477 + ... + 5650299.

It is an arithmetic number, because the mean of its divisors is an integer number (128352420).

Almost surely, 24649857824 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 4649857824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6160916160).

4649857824 is an abundant number, since it is smaller than the sum of its proper divisors (7671974496).

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

4649857824 is a wasteful number, since it uses less digits than its factorization.

4649857824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1314 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 57.

The square root of 4649857824 is about 68189.8659919493. The cubic root of 4649857824 is about 1669.0905232339.

The spelling of 4649857824 in words is "four billion, six hundred forty-nine million, eight hundred fifty-seven thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 229 257 458 514 687 771 823 916 1028 1374 1542 1646 1832 2056 2469 2748 3084 3292 3664 4112 4938 5496 6168 6584 7328 8224 9876 10992 12336 13168 19752 21984 24672 26336 39504 58853 79008 117706 176559 188467 211511 235412 353118 376934 423022 470824 565401 634533 706236 753868 846044 941648 1130802 1269066 1412472 1507736 1692088 1883296 2261604 2538132 2824944 3015472 3384176 4523208 5076264 5649888 6030944 6768352 9046416 10152528 18092832 20305056 48436019 96872038 145308057 193744076 290616114 387488152 581232228 774976304 1162464456 1549952608 2324928912 4649857824