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24968052 = 223219173211
BaseRepresentation
bin101111100111…
…1101101110100
31201222111201200
41133033231310
522342434202
62251052500
7422140104
oct137175564
951874650
1024968052
111310395a
128441130
1352327c5
14345d204
1522d2e1c
hex17cfb74

24968052 has 72 divisors (see below), whose sum is σ = 67136160. Its totient is φ = 7801920.

The previous prime is 24968023. The next prime is 24968059. The reversal of 24968052 is 25086942.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 24967998 and 24968016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24968059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118227 + ... + 118437.

Almost surely, 224968052 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 24968052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33568080).

24968052 is an abundant number, since it is smaller than the sum of its proper divisors (42168108).

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

24968052 is a wasteful number, since it uses less digits than its factorization.

24968052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 24968052 is about 4996.8041786726. The cubic root of 24968052 is about 292.2771653681.

The spelling of 24968052 in words is "twenty-four million, nine hundred sixty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 173 211 228 342 346 422 519 633 684 692 844 1038 1266 1557 1899 2076 2532 3114 3287 3798 4009 6228 6574 7596 8018 9861 12027 13148 16036 19722 24054 29583 36081 36503 39444 48108 59166 72162 73006 109509 118332 144324 146012 219018 328527 438036 657054 693557 1314108 1387114 2080671 2774228 4161342 6242013 8322684 12484026 24968052