Search a number
-
+
4579085472 = 253134098971
BaseRepresentation
bin1000100001110111…
…10100110010100000
3102211010100122101020
410100323310302200
533334221213342
62034213405440
7221321404263
oct42073646240
912733318336
104579085472
111a3a857765
12a79639880
1357c8a6840
14316214cda
151bc0110ec
hex110ef4ca0

4579085472 has 96 divisors (see below), whose sum is σ = 12977818560. Its totient is φ = 1405347840.

The previous prime is 4579085429. The next prime is 4579085509. The reversal of 4579085472 is 2745809754.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 505947 + ... + 514917.

It is an arithmetic number, because the mean of its divisors is an integer number (135185610).

Almost surely, 24579085472 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 4579085472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6488909280).

4579085472 is an abundant number, since it is smaller than the sum of its proper divisors (8398733088).

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

4579085472 is a wasteful number, since it uses less digits than its factorization.

4579085472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9406 (or 9398 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The square root of 4579085472 is about 67668.9402310986. The cubic root of 4579085472 is about 1660.5791601807.

The spelling of 4579085472 in words is "four billion, five hundred seventy-nine million, eighty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 409 416 624 818 1227 1248 1636 2454 3272 4908 5317 6544 8971 9816 10634 13088 15951 17942 19632 21268 26913 31902 35884 39264 42536 53826 63804 71768 85072 107652 116623 127608 143536 170144 215304 233246 255216 287072 349869 430608 466492 510432 699738 861216 932984 1399476 1865968 2798952 3669139 3731936 5597904 7338278 11007417 11195808 14676556 22014834 29353112 44029668 47698807 58706224 88059336 95397614 117412448 143096421 176118672 190795228 286192842 352237344 381590456 572385684 763180912 1144771368 1526361824 2289542736 4579085472