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42252504 = 23372193161
BaseRepresentation
bin1010000100101…
…1100011011000
32221111122112120
42201023203120
541304040004
64105341240
71022066100
oct241134330
987448476
1042252504
1121939a28
1212197820
1389a4ba8
14587c200
153a993d9
hex284b8d8

42252504 has 192 divisors, whose sum is σ = 135705600. Its totient is φ = 10886400.

The previous prime is 42252499. The next prime is 42252547. The reversal of 42252504 is 40525224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 692634 + ... + 692694.

It is an arithmetic number, because the mean of its divisors is an integer number (706800).

Almost surely, 242252504 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 42252504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67852800).

42252504 is an abundant number, since it is smaller than the sum of its proper divisors (93453096).

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

42252504 is a wasteful number, since it uses less digits than its factorization.

42252504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 42252504 is about 6500.1926125308. The cubic root of 42252504 is about 348.2978688944.

Adding to 42252504 its reverse (40525224), we get a palindrome (82777728).

The spelling of 42252504 in words is "forty-two million, two hundred fifty-two thousand, five hundred four".