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4301428428 = 2233117574783
BaseRepresentation
bin1000000000110001…
…01001011011001100
3102002202220012112000
410000120221123030
532302131202203
61550454312300
7211410352443
oct40030513314
912082805460
104301428428
111908053930
12a00658690
135371cc72b
142cb3b9d5a
151a29674a3
hex1006296cc

4301428428 has 96 divisors (see below), whose sum is σ = 12184273920. Its totient is φ = 1301469120.

The previous prime is 4301428427. The next prime is 4301428477. The reversal of 4301428428 is 8248241034.

4301428428 is a `hidden beast` number, since 430 + 142 + 84 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4301428392 and 4301428401.

It is not an unprimeable number, because it can be changed into a prime (4301428427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 896925 + ... + 901707.

It is an arithmetic number, because the mean of its divisors is an integer number (126919520).

Almost surely, 24301428428 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 4301428428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6092136960).

4301428428 is an abundant number, since it is smaller than the sum of its proper divisors (7882845492).

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

4301428428 is a wasteful number, since it uses less digits than its factorization.

4301428428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5564 (or 5556 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4301428428 is about 65585.2760000292. The cubic root of 4301428428 is about 1626.3133748747.

The spelling of 4301428428 in words is "four billion, three hundred one million, four hundred twenty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 757 1188 1514 2271 3028 4542 4783 6813 8327 9084 9566 13626 14349 16654 19132 20439 24981 27252 28698 33308 40878 43047 49962 52613 57396 74943 81756 86094 99924 105226 129141 149886 157839 172188 210452 224829 258282 299772 315678 449658 473517 516564 631356 899316 947034 1420551 1894068 2841102 3620731 5682204 7241462 10862193 14482924 21724386 32586579 39828041 43448772 65173158 79656082 97759737 119484123 130346316 159312164 195519474 238968246 358452369 391038948 477936492 716904738 1075357107 1433809476 2150714214 4301428428