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2428284729 = 313375331751
BaseRepresentation
bin1001000010111100…
…1010111100111001
320021020020122102110
42100233022330321
514433120102404
61040542322533
7114114036213
oct22057127471
96236218373
102428284729
111036781292
12579289449
132c910cc90
141907035b3
15e32b1b89
hex90bcaf39

2428284729 has 32 divisors (see below), whose sum is σ = 3648685824. Its totient is φ = 1426464000.

The previous prime is 2428284713. The next prime is 2428284763. The reversal of 2428284729 is 9274828242.

It is not a de Polignac number, because 2428284729 - 24 = 2428284713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2428284779) 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 31 ways as a sum of consecutive naturals, for example, 60604 + ... + 92354.

It is an arithmetic number, because the mean of its divisors is an integer number (114021432).

Almost surely, 22428284729 is an apocalyptic number.

It is an amenable number.

2428284729 is a deficient number, since it is larger than the sum of its proper divisors (1220401095).

2428284729 is a wasteful number, since it uses less digits than its factorization.

2428284729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31857.

The product of its digits is 1032192, while the sum is 48.

The square root of 2428284729 is about 49277.6290927232. The cubic root of 2428284729 is about 1344.1050193190.

The spelling of 2428284729 in words is "two billion, four hundred twenty-eight million, two hundred eighty-four thousand, seven hundred twenty-nine".

Divisors: 1 3 13 37 39 53 111 159 481 689 1443 1961 2067 5883 25493 31751 76479 95253 412763 1174787 1238289 1682803 3524361 5048409 15272231 21876439 45816693 62263711 65629317 186791133 809428243 2428284729