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24745068 = 22331931389
BaseRepresentation
bin101111001100…
…1010001101100
31201120011212000
41132121101230
522313320233
62242212300
7420221025
oct136312154
951504760
1024745068
1112a71377
128354090
13518516a
143401c4c
15228bd13
hex179946c

24745068 has 96 divisors (see below), whose sum is σ = 69888000. Its totient is φ = 7542720.

The previous prime is 24745067. The next prime is 24745069. The reversal of 24745068 is 86054742.

It is an interprime number because it is at equal distance from previous prime (24745067) and next prime (24745069).

It is a super-2 number, since 2×247450682 = 1224636780649248, which contains 22 as substring.

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 (24745067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63418 + ... + 63806.

It is an arithmetic number, because the mean of its divisors is an integer number (728000).

Almost surely, 224745068 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 24745068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34944000).

24745068 is an abundant number, since it is smaller than the sum of its proper divisors (45142932).

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

24745068 is a wasteful number, since it uses less digits than its factorization.

24745068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 444 counting only the distinct ones).

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

The square root of 24745068 is about 4974.4414761860. The cubic root of 24745068 is about 291.4044752692.

The spelling of 24745068 in words is "twenty-four million, seven hundred forty-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 31 36 38 54 57 62 76 93 108 114 124 171 186 228 279 342 372 389 513 558 589 684 778 837 1026 1116 1167 1178 1556 1674 1767 2052 2334 2356 3348 3501 3534 4668 5301 7002 7068 7391 10503 10602 12059 14004 14782 15903 21006 21204 22173 24118 29564 31806 36177 42012 44346 48236 63612 66519 72354 88692 108531 133038 144708 199557 217062 229121 266076 325593 399114 434124 458242 651186 687363 798228 916484 1302372 1374726 2062089 2749452 4124178 6186267 8248356 12372534 24745068