Search a number
-
+
4959258080 = 25575038803
BaseRepresentation
bin1001001111001100…
…00100010111100000
3110210121201102011012
410213212010113200
540124032224310
62140034040052
7233615666240
oct44746042740
913717642135
104959258080
11211540aaa7
12b64a19028
1361059544a
143508d7b20
151e05a9c05
hex1279845e0

4959258080 has 96 divisors (see below), whose sum is σ = 13418141184. Its totient is φ = 1696743936.

The previous prime is 4959258079. The next prime is 4959258097. The reversal of 4959258080 is 808529594.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558959 + ... + 567761.

It is an arithmetic number, because the mean of its divisors is an integer number (139772304).

Almost surely, 24959258080 is an apocalyptic number.

4959258080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4959258080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6709070592).

4959258080 is an abundant number, since it is smaller than the sum of its proper divisors (8458883104).

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

4959258080 is a wasteful number, since it uses less digits than its factorization.

4959258080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9328 (or 9320 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 50.

The square root of 4959258080 is about 70421.9999715998. Note that the first 4 decimals coincide. The cubic root of 4959258080 is about 1705.3187606162.

The spelling of 4959258080 in words is "four billion, nine hundred fifty-nine million, two hundred fifty-eight thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 503 560 1006 1120 2012 2515 3521 4024 5030 7042 8048 8803 10060 14084 16096 17605 17606 20120 28168 35210 35212 40240 44015 56336 61621 70420 70424 80480 88030 112672 123242 140840 140848 176060 246484 281680 281696 308105 352120 492968 563360 616210 704240 985936 1232420 1408480 1971872 2464840 4427909 4929680 8855818 9859360 17711636 22139545 30995363 35423272 44279090 61990726 70846544 88558180 123981452 141693088 154976815 177116360 247962904 309953630 354232720 495925808 619907260 708465440 991851616 1239814520 2479629040 4959258080