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25142292 = 2233724751
BaseRepresentation
bin101111111101…
…0010000010100
31202022100202000
41133322100110
522414023132
62254515300
7423464100
oct137722024
952270660
1025142292
111321285a
128505b30
135293bc6
1434a6900
15231987c
hex17fa414

25142292 has 72 divisors (see below), whose sum is σ = 75841920. Its totient is φ = 7182000.

The previous prime is 25142287. The next prime is 25142297. The reversal of 25142292 is 29224152.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (25142287) and next prime (25142297).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25142297) 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 23 ways as a sum of consecutive naturals, for example, 2917 + ... + 7667.

It is an arithmetic number, because the mean of its divisors is an integer number (1053360).

Almost surely, 225142292 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 25142292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37920960).

25142292 is an abundant number, since it is smaller than the sum of its proper divisors (50699628).

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

25142292 is a wasteful number, since it uses less digits than its factorization.

25142292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4778 (or 4763 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 25142292 is about 5014.2090104023. The cubic root of 25142292 is about 292.9554770883.

The spelling of 25142292 in words is "twenty-five million, one hundred forty-two thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 4751 5292 9502 14253 19004 28506 33257 42759 57012 66514 85518 99771 128277 133028 171036 199542 232799 256554 299313 399084 465598 513108 598626 698397 897939 931196 1197252 1396794 1795878 2095191 2793588 3591756 4190382 6285573 8380764 12571146 25142292