Search a number
-
+
4428804024 = 2332187732771
BaseRepresentation
bin1000001111111101…
…00010111110111000
3102102122120112222200
410013332202332320
533032233212044
62011244350200
7214515133041
oct40776427670
912378515880
104428804024
111972a43017
12a37245360
135577097c8
143002958c8
151adc28369
hex107fa2fb8

4428804024 has 48 divisors (see below), whose sum is σ = 12001434120. Its totient is φ = 1475436480.

The previous prime is 4428804013. The next prime is 4428804097. The reversal of 4428804024 is 4204088244.

It is a super-2 number, since 2×44288040242 = 39228610165997185152, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4428804024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118759 + ... + 151529.

Almost surely, 24428804024 is an apocalyptic number.

It is an amenable number.

4428804024 is an abundant number, since it is smaller than the sum of its proper divisors (7572630096).

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

4428804024 is a wasteful number, since it uses less digits than its factorization.

4428804024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34660 (or 34653 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 4428804024 is about 66549.2601311239. The cubic root of 4428804024 is about 1642.2104864228.

The spelling of 4428804024 in words is "four billion, four hundred twenty-eight million, eight hundred four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1877 3754 5631 7508 11262 15016 16893 22524 32771 33786 45048 65542 67572 98313 131084 135144 196626 262168 294939 393252 589878 786504 1179756 2359512 61511167 123022334 184533501 246044668 369067002 492089336 553600503 738134004 1107201006 1476268008 2214402012 4428804024