Search a number
-
+
5784264 = 233361439
BaseRepresentation
bin10110000100001011001000
3101212212112000
4112010023020
52440044024
6323551000
7100110513
oct26041310
911785460
105784264
1132a0892
121b2b460
131276a55
14aa7d7a
15793cc9
hex5842c8

5784264 has 64 divisors (see below), whose sum is σ = 16368000. Its totient is φ = 1892160.

The previous prime is 5784263. The next prime is 5784269. The reversal of 5784264 is 4624875.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5784263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12957 + ... + 13395.

It is an arithmetic number, because the mean of its divisors is an integer number (255750).

Almost surely, 25784264 is an apocalyptic number.

5784264 is a gapful number since it is divisible by the number (54) 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 5784264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8184000).

5784264 is an abundant number, since it is smaller than the sum of its proper divisors (10583736).

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

5784264 is a wasteful number, since it uses less digits than its factorization.

5784264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 505 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 5784264 is about 2405.0496876364. The cubic root of 5784264 is about 179.5075428171.

The spelling of 5784264 in words is "five million, seven hundred eighty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 216 244 366 439 488 549 732 878 1098 1317 1464 1647 1756 2196 2634 3294 3512 3951 4392 5268 6588 7902 10536 11853 13176 15804 23706 26779 31608 47412 53558 80337 94824 107116 160674 214232 241011 321348 482022 642696 723033 964044 1446066 1928088 2892132 5784264