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24939252 = 22341331191
BaseRepresentation
bin101111100100…
…0101011110100
31201221001020000
41133020223310
522341024002
62250311300
7421660122
oct137105364
951831200
1024939252
1113094258
128428530
135222670
143452912
1522c961c
hex17c8af4

24939252 has 120 divisors (see below), whose sum is σ = 72855552. Its totient is φ = 7387200.

The previous prime is 24939251. The next prime is 24939253. The reversal of 24939252 is 25293942.

It is an interprime number because it is at equal distance from previous prime (24939251) and next prime (24939253).

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

Its product of digits (38880) is a multiple of the sum of its prime divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24939251) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 130477 + ... + 130667.

Almost surely, 224939252 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 24939252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36427776).

24939252 is an abundant number, since it is smaller than the sum of its proper divisors (47916300).

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

24939252 is a wasteful number, since it uses less digits than its factorization.

24939252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 240 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 24939252 is about 4993.9215051901. The cubic root of 24939252 is about 292.1647440903.

The spelling of 24939252 in words is "twenty-four million, nine hundred thirty-nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 81 93 108 117 124 156 162 186 191 234 279 324 351 372 382 403 468 558 573 702 764 806 837 1053 1116 1146 1209 1404 1612 1674 1719 2106 2292 2418 2483 2511 3348 3438 3627 4212 4836 4966 5022 5157 5921 6876 7254 7449 9932 10044 10314 10881 11842 14508 14898 15471 17763 20628 21762 22347 23684 29796 30942 32643 35526 43524 44694 53289 61884 65286 67041 71052 76973 89388 106578 130572 134082 153946 159867 201123 213156 230919 268164 307892 319734 402246 461838 479601 639468 692757 804492 923676 959202 1385514 1918404 2078271 2771028 4156542 6234813 8313084 12469626 24939252