Search a number
-
+
5872948580 = 2253725730881
BaseRepresentation
bin1010111100000111…
…00001010101100100
3120011021222200220002
411132003201111210
544011433323310
62410433400432
7265352145032
oct53603412544
916137880802
105872948580
112544143214
12117aa09118
13727973405
143d9db9552
152458dcda5
hex15e0e1564

5872948580 has 48 divisors (see below), whose sum is σ = 12716219376. Its totient is φ = 2276720640.

The previous prime is 5872948579. The next prime is 5872948637. The reversal of 5872948580 is 858492785.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2954139904 + 2918808676 = 54352^2 + 54026^2 .

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, 174740 + ... + 205620.

It is an arithmetic number, because the mean of its divisors is an integer number (264921237).

Almost surely, 25872948580 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 5872948580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6358109688).

5872948580 is an abundant number, since it is smaller than the sum of its proper divisors (6843270796).

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

5872948580 is a wasteful number, since it uses less digits than its factorization.

5872948580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31184 (or 31182 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 56.

The square root of 5872948580 is about 76635.1654268457. The cubic root of 5872948580 is about 1804.2029952511.

The spelling of 5872948580 in words is "five billion, eight hundred seventy-two million, nine hundred forty-eight thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 37 74 148 185 257 370 514 740 1028 1285 2570 5140 9509 19018 30881 38036 47545 61762 95090 123524 154405 190180 308810 617620 1142597 2285194 4570388 5712985 7936417 11425970 15872834 22851940 31745668 39682085 79364170 158728340 293647429 587294858 1174589716 1468237145 2936474290 5872948580