Search a number
-
+
5849938432 = 29131396323
BaseRepresentation
bin1010111001010111…
…01111101000000000
3120002200200122220101
411130223233220000
543440041012212
62404252252144
7264652441042
oct53453575000
916080618811
105849938432
112532157368
121173171054
13722c77b40
143d6d09a92
15243895157
hex15caefa00

5849938432 has 80 divisors (see below), whose sum is σ = 12680125920. Its totient is φ = 2680123392.

The previous prime is 5849938417. The next prime is 5849938453. The reversal of 5849938432 is 2348399485.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 922023 + ... + 928345.

It is an arithmetic number, because the mean of its divisors is an integer number (158501574).

Almost surely, 25849938432 is an apocalyptic number.

5849938432 is a gapful number since it is divisible by the number (52) 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 5849938432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6340062960).

5849938432 is an abundant number, since it is smaller than the sum of its proper divisors (6830187488).

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

5849938432 is a wasteful number, since it uses less digits than its factorization.

5849938432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6493 (or 6477 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 55.

The square root of 5849938432 is about 76484.8902202259. The cubic root of 5849938432 is about 1801.8436287358.

The spelling of 5849938432 in words is "five billion, eight hundred forty-nine million, nine hundred thirty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 139 208 256 278 416 512 556 832 1112 1664 1807 2224 3328 3614 4448 6323 6656 7228 8896 12646 14456 17792 25292 28912 35584 50584 57824 71168 82199 101168 115648 164398 202336 231296 328796 404672 462592 657592 809344 878897 925184 1315184 1618688 1757794 2630368 3237376 3515588 5260736 7031176 10521472 11425661 14062352 21042944 22851322 28124704 42085888 45702644 56249408 91405288 112498816 182810576 224997632 365621152 449995264 731242304 1462484608 2924969216 5849938432