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2128530496 = 26732792
BaseRepresentation
bin111111011011110…
…1100110001000000
312111100012112220211
41332313230301000
513324400433441
6551113443504
7103514132161
oct17667546100
95440175824
102128530496
119a2555514
124b4a10594
1327bc9a001
14162995768
15c6d00a81
hex7edecc40

2128530496 has 63 divisors (see below), whose sum is σ = 4337350101. Its totient is φ = 1036399104.

The previous prime is 2128530493. The next prime is 2128530511. The reversal of 2128530496 is 6940358212.

The square root of 2128530496 is 46136.

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., 1208257600 + 920272896 = 34760^2 + 30336^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2128530493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26943385 + ... + 26943463.

It is an arithmetic number, because the mean of its divisors is an integer number (68846827).

Almost surely, 22128530496 is an apocalyptic number.

2128530496 is the 46136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2128530496

2128530496 is an abundant number, since it is smaller than the sum of its proper divisors (2208819605).

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

2128530496 is an frugal number, since it uses more digits than its factorization.

2128530496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The cubic root of 2128530496 is about 1286.3523934966.

The spelling of 2128530496 in words is "two billion, one hundred twenty-eight million, five hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 73 79 146 158 292 316 584 632 1168 1264 2336 2528 4672 5056 5329 5767 6241 10658 11534 12482 21316 23068 24964 42632 46136 49928 85264 92272 99856 170528 184544 199712 341056 369088 399424 420991 455593 841982 911186 1683964 1822372 3367928 3644744 6735856 7289488 13471712 14578976 26943424 29157952 33258289 66516578 133033156 266066312 532132624 1064265248 2128530496