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24986742 = 23112127271
BaseRepresentation
bin101111101010…
…0010001110110
31202000110100220
41133110101312
522344033432
62251315210
7422245434
oct137242166
952013326
1024986742
1113116a00
12844bb06
13523b171
143465d54
1522d872c
hex17d4476

24986742 has 48 divisors (see below), whose sum is σ = 55566336. Its totient is φ = 7484400.

The previous prime is 24986737. The next prime is 24986749. The reversal of 24986742 is 24768942.

It is a junction number, because it is equal to n+sod(n) for n = 24986694 and 24986703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24986749) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92067 + ... + 92337.

It is an arithmetic number, because the mean of its divisors is an integer number (1157632).

Almost surely, 224986742 is an apocalyptic number.

24986742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 24986742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27783168).

24986742 is an abundant number, since it is smaller than the sum of its proper divisors (30579594).

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

24986742 is a wasteful number, since it uses less digits than its factorization.

24986742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 414 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 24986742 is about 4998.6740241788. The cubic root of 24986742 is about 292.3500758452.

The spelling of 24986742 in words is "twenty-four million, nine hundred eighty-six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 127 242 254 271 363 381 542 726 762 813 1397 1626 2794 2981 4191 5962 8382 8943 15367 17886 30734 32791 34417 46101 65582 68834 92202 98373 103251 196746 206502 378587 757174 1135761 2271522 4164457 8328914 12493371 24986742