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2980286464 = 2128532
BaseRepresentation
bin1011000110100011…
…1001000000000000
321200200221020110011
42301220321000000
522100423131324
61211421514304
7133566005551
oct26150710000
97620836404
102980286464
11129a326371
126b2112994
133865a161c
14203b54328
1512699cc94
hexb1a39000

2980286464 has 39 divisors (see below), whose sum is σ = 5966840433. Its totient is φ = 1488396288.

The previous prime is 2980286447. The next prime is 2980286467. The reversal of 2980286464 is 4646820892.

The square root of 2980286464 is 54592.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 172134400 + 2808152064 = 13120^2 + 52992^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2980286467) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3493462 + ... + 3494314.

Almost surely, 22980286464 is an apocalyptic number.

2980286464 is the 54592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2980286464

2980286464 is an abundant number, since it is smaller than the sum of its proper divisors (2986553969).

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

2980286464 is an frugal number, since it uses more digits than its factorization.

2980286464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 49.

The cubic root of 2980286464 is about 1439.0835320768.

Multiplying 2980286464 by its sum of digits (49), we get a square (146034036736 = 3821442).

It can be divided in two parts, 2980 and 286464, that added together give a square (289444 = 5382).

The spelling of 2980286464 in words is "two billion, nine hundred eighty million, two hundred eighty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 853 1024 1706 2048 3412 4096 6824 13648 27296 54592 109184 218368 436736 727609 873472 1455218 1746944 2910436 3493888 5820872 11641744 23283488 46566976 93133952 186267904 372535808 745071616 1490143232 2980286464