Search a number
-
+
4578407980 = 225318838363
BaseRepresentation
bin1000100001110010…
…01111011000101100
3102211002002020000221
410100321033120230
533334033023410
62034151101124
7221312553136
oct42071173054
912732066027
104578407980
111a3a434753
12a793717a4
1357c6ca363
143160ba056
151bbe2a4da
hex110e4f62c

4578407980 has 48 divisors (see below), whose sum is σ = 9937234944. Its totient is φ = 1770068160.

The previous prime is 4578407957. The next prime is 4578407983. The reversal of 4578407980 is 897048754.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4578407983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 543279 + ... + 551641.

It is an arithmetic number, because the mean of its divisors is an integer number (207025728).

Almost surely, 24578407980 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 4578407980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4968617472).

4578407980 is an abundant number, since it is smaller than the sum of its proper divisors (5358826964).

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

4578407980 is a wasteful number, since it uses less digits than its factorization.

4578407980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9286 (or 9284 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 52.

The square root of 4578407980 is about 67663.9341155981. The cubic root of 4578407980 is about 1660.4972599416.

The spelling of 4578407980 in words is "four billion, five hundred seventy-eight million, four hundred seven thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 883 1766 3532 4415 8363 8830 16726 17660 27373 33452 41815 54746 83630 109492 136865 167260 259253 273730 518506 547460 1037012 1296265 2592530 5185060 7384529 14769058 29538116 36922645 73845290 147690580 228920399 457840798 915681596 1144601995 2289203990 4578407980