Search a number
-
+
293483872 = 25113492389
BaseRepresentation
bin10001011111100…
…011010101100000
3202110020112012001
4101133203111200
51100112440442
645042213344
710162400053
oct2137432540
9673215161
10293483872
11140733860
1282354254
1348a58bc6
142ad98a9a
151ab732b7
hex117e3560

293483872 has 48 divisors (see below), whose sum is σ = 632394000. Its totient is φ = 132963840.

The previous prime is 293483867. The next prime is 293483891. The reversal of 293483872 is 278384392.

It is a super-2 number, since 2×2934838722 = 172265566248224768, which contains 22 as substring.

It is a congruent number.

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, 121654 + ... + 124042.

It is an arithmetic number, because the mean of its divisors is an integer number (13174875).

Almost surely, 2293483872 is an apocalyptic number.

293483872 is a gapful number since it is divisible by the number (22) 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 293483872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316197000).

293483872 is an abundant number, since it is smaller than the sum of its proper divisors (338910128).

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

293483872 is a wasteful number, since it uses less digits than its factorization.

293483872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2751 counting only the distinct ones).

The product of its digits is 580608, while the sum is 46.

The square root of 293483872 is about 17131.3709900872. The cubic root of 293483872 is about 664.5506391920.

The spelling of 293483872 in words is "two hundred ninety-three million, four hundred eighty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 349 352 698 1396 2389 2792 3839 4778 5584 7678 9556 11168 15356 19112 26279 30712 38224 52558 61424 76448 105116 122848 210232 420464 833761 840928 1667522 3335044 6670088 9171371 13340176 18342742 26680352 36685484 73370968 146741936 293483872