Search a number
-
+
48301261232 = 24713922313913
BaseRepresentation
bin101100111110111110…
…101100000110110000
311121200012100022010012
4230332332230012300
51242410110324412
634104515354052
73326643642410
oct547676540660
9147605308105
1048301261232
1119536891514
12943bbb2928
134729b45563
1424a2c96640
1513ca68ec22
hexb3efac1b0

48301261232 has 80 divisors (see below), whose sum is σ = 108213073920. Its totient is φ = 20457985536.

The previous prime is 48301261171. The next prime is 48301261247. The reversal of 48301261232 is 23216210384.

It is a super-5 number, since 5×483012612325 (a number of 55 digits) contains 55555 as substring.

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, 3464708 + ... + 3478620.

It is an arithmetic number, because the mean of its divisors is an integer number (1352663424).

Almost surely, 248301261232 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 48301261232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54106536960).

48301261232 is an abundant number, since it is smaller than the sum of its proper divisors (59911812688).

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

48301261232 is a wasteful number, since it uses less digits than its factorization.

48301261232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14290 (or 14284 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 48301261232 in words is "forty-eight billion, three hundred one million, two hundred sixty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 139 223 278 446 556 892 973 1112 1561 1784 1946 2224 3122 3568 3892 6244 7784 12488 13913 15568 24976 27826 30997 55652 61994 97391 111304 123988 194782 216979 222608 247976 389564 433958 495952 779128 867916 1558256 1735832 1933907 3102599 3471664 3867814 6205198 7735628 12410396 13537349 15471256 21718193 24820792 27074698 30942512 43436386 49641584 54149396 86872772 108298792 173745544 216597584 347491088 431261261 862522522 1725045044 3018828827 3450090088 6037657654 6900180176 12075315308 24150630616 48301261232