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2490216064 = 2772397037
BaseRepresentation
bin1001010001101101…
…1010111010000000
320102112210002020121
42110123122322000
520044443403224
61051033550024
7115465326100
oct22433327200
96375702217
102490216064
111068731206
12595b75314
13308bb503b
14198a25200
15e8946be4
hex946dae80

2490216064 has 48 divisors (see below), whose sum is σ = 5770947330. Its totient is φ = 1067232768.

The previous prime is 2490216061. The next prime is 2490216101. The reversal of 2490216064 is 4606120942.

It can be written as a sum of positive squares in only one way, i.e., 1835265600 + 654950464 = 42840^2 + 25592^2 .

It is not an unprimeable number, because it can be changed into a prime (2490216061) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 192247 + ... + 204790.

Almost surely, 22490216064 is an apocalyptic number.

It is an amenable number.

2490216064 is an abundant number, since it is smaller than the sum of its proper divisors (3280731266).

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

2490216064 is an equidigital number, since it uses as much as digits as its factorization.

2490216064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397065 (or 397046 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 2490216064 is about 49902.0647268227. The cubic root of 2490216064 is about 1355.4359810359.

The spelling of 2490216064 in words is "two billion, four hundred ninety million, two hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 6272 397037 794074 1588148 2779259 3176296 5558518 6352592 11117036 12705184 19454813 22234072 25410368 38909626 44468144 50820736 77819252 88936288 155638504 177872576 311277008 355745152 622554016 1245108032 2490216064