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24772068 = 2234101757
BaseRepresentation
bin101111001111…
…1110111100100
31201121112220000
41132133313210
522320201233
62242541300
7420362526
oct136376744
951545800
1024772068
1112a8a692
128367830
135194539
14340ba16
152294d13
hex179fde4

24772068 has 60 divisors (see below), whose sum is σ = 65486652. Its totient is φ = 8164800.

The previous prime is 24772063. The next prime is 24772079. The reversal of 24772068 is 86027742.

It can be written as a sum of positive squares in 2 ways, for example, as 20412324 + 4359744 = 4518^2 + 2088^2 .

It is a super-2 number, since 2×247720682 = 1227310705993248, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24772063) 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 19 ways as a sum of consecutive naturals, for example, 32346 + ... + 33102.

Almost surely, 224772068 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 24772068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32743326).

24772068 is an abundant number, since it is smaller than the sum of its proper divisors (40714584).

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

24772068 is a wasteful number, since it uses less digits than its factorization.

24772068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 24772068 is about 4977.1546088101. The cubic root of 24772068 is about 291.5104231283.

The spelling of 24772068 in words is "twenty-four million, seven hundred seventy-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 101 108 162 202 303 324 404 606 757 909 1212 1514 1818 2271 2727 3028 3636 4542 5454 6813 8181 9084 10908 13626 16362 20439 27252 32724 40878 61317 76457 81756 122634 152914 229371 245268 305828 458742 688113 917484 1376226 2064339 2752452 4128678 6193017 8257356 12386034 24772068