Search a number
-
+
24748230 = 23513233189
BaseRepresentation
bin101111001101…
…0000011000110
31201120100012010
41132122003012
522313420410
62242235050
7420233163
oct136320306
951510163
1024748230
1112a73791
128355a86
135186730
14340306a
15228cc20
hex179a0c6

24748230 has 128 divisors (see below), whose sum is σ = 69672960. Its totient is φ = 5575680.

The previous prime is 24748219. The next prime is 24748247. The reversal of 24748230 is 3284742.

It is a super-2 number, since 2×247482302 = 1224949776265800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 278026 + ... + 278114.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 224748230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24748230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34836480).

24748230 is an abundant number, since it is smaller than the sum of its proper divisors (44924730).

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

24748230 is a wasteful number, since it uses less digits than its factorization.

24748230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166.

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 24748230 is about 4974.7592906592. The cubic root of 24748230 is about 291.4168869237.

The spelling of 24748230 in words is "twenty-four million, seven hundred forty-eight thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 23 26 30 31 39 46 62 65 69 78 89 93 115 130 138 155 178 186 195 230 267 299 310 345 390 403 445 465 534 598 690 713 806 890 897 930 1157 1209 1335 1426 1495 1794 2015 2047 2139 2314 2418 2670 2759 2990 3471 3565 4030 4094 4278 4485 5518 5785 6045 6141 6942 7130 8277 8970 9269 10235 10695 11570 12090 12282 13795 16554 17355 18538 20470 21390 26611 27590 27807 30705 34710 35867 41385 46345 53222 55614 61410 63457 71734 79833 82770 92690 107601 126914 133055 139035 159666 179335 190371 215202 266110 278070 317285 358670 380742 399165 538005 634570 798330 824941 951855 1076010 1649882 1903710 2474823 4124705 4949646 8249410 12374115 24748230