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42252752 = 2417315011
BaseRepresentation
bin1010000100101…
…1100111010000
32221111122212202
42201023213100
541304042002
64105342332
71022066603
oct241134720
987448782
1042252752
112193a133
12121979a8
1389a5039
14587c33a
153a99502
hex284b9d0

42252752 has 40 divisors (see below), whose sum is σ = 89494272. Its totient is φ = 19238400.

The previous prime is 42252737. The next prime is 42252761. The reversal of 42252752 is 25725224.

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, 5927 + ... + 10937.

Almost surely, 242252752 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 42252752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44747136).

42252752 is an abundant number, since it is smaller than the sum of its proper divisors (47241520).

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

42252752 is a wasteful number, since it uses less digits than its factorization.

42252752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5067 (or 5061 counting only the distinct ones).

The product of its digits is 11200, while the sum is 29.

The square root of 42252752 is about 6500.2116888606. The cubic root of 42252752 is about 348.2985503349.

Adding to 42252752 its reverse (25725224), we get a palindrome (67977976).

The spelling of 42252752 in words is "forty-two million, two hundred fifty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 272 496 527 1054 2108 4216 5011 8432 10022 20044 40088 80176 85187 155341 170374 310682 340748 621364 681496 1242728 1362992 2485456 2640797 5281594 10563188 21126376 42252752