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42425152 = 267118609
BaseRepresentation
bin1010000111010…
…1101101000000
32221211102100221
42201311231000
541330101102
64113152424
71023415330
oct241655500
987742327
1042425152
1121a47710
121225b714
138a35653
1458c50c0
153ad0637
hex2875b40

42425152 has 56 divisors (see below), whose sum is σ = 104973120. Its totient is φ = 16527360.

The previous prime is 42425147. The next prime is 42425171. The reversal of 42425152 is 25152424.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 624 + ... + 9232.

It is an arithmetic number, because the mean of its divisors is an integer number (1874520).

Almost surely, 242425152 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 42425152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52486560).

42425152 is an abundant number, since it is smaller than the sum of its proper divisors (62547968).

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

42425152 is a wasteful number, since it uses less digits than its factorization.

42425152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8639 (or 8629 counting only the distinct ones).

The product of its digits is 3200, while the sum is 25.

The square root of 42425152 is about 6513.4592959502. The cubic root of 42425152 is about 348.7716176440.

Adding to 42425152 its reverse (25152424), we get a palindrome (67577576).

The spelling of 42425152 in words is "forty-two million, four hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4928 8609 17218 34436 60263 68872 94699 120526 137744 189398 241052 275488 378796 482104 550976 662893 757592 964208 1325786 1515184 1928416 2651572 3030368 3856832 5303144 6060736 10606288 21212576 42425152