Search a number
-
+
2987813568 = 26323965111
BaseRepresentation
bin1011001000010110…
…0110101011000000
321201020002122200210
42302011212223000
522104340013233
61212251114120
7134016665505
oct26205465300
97636078623
102987813568
1112a35a7613
126b4742940
1338800872c
14204b534ac
15127488163
hexb2166ac0

2987813568 has 56 divisors (see below), whose sum is σ = 7938455040. Its totient is φ = 991755520.

The previous prime is 2987813567. The next prime is 2987813581. The reversal of 2987813568 is 8653187892.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2987813561) 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 7 ways as a sum of consecutive naturals, for example, 13333 + ... + 78443.

Almost surely, 22987813568 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 2987813568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3969227520).

2987813568 is an abundant number, since it is smaller than the sum of its proper divisors (4950641472).

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

2987813568 is a wasteful number, since it uses less digits than its factorization.

2987813568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65365 (or 65355 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 57.

The square root of 2987813568 is about 54660.8961507219. The cubic root of 2987813568 is about 1440.2940448909.

The spelling of 2987813568 in words is "two billion, nine hundred eighty-seven million, eight hundred thirteen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 239 478 717 956 1434 1912 2868 3824 5736 7648 11472 15296 22944 45888 65111 130222 195333 260444 390666 520888 781332 1041776 1562664 2083552 3125328 4167104 6250656 12501312 15561529 31123058 46684587 62246116 93369174 124492232 186738348 248984464 373476696 497968928 746953392 995937856 1493906784 2987813568