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42888252 = 223113147223
BaseRepresentation
bin1010001110011…
…0110000111100
32222200221121210
42203212300330
541434411002
64131124420
71030354431
oct243466074
988627553
1042888252
1122233640
1212443710
138b68384
1459a5b88
153b7296c
hex28e6c3c

42888252 has 96 divisors (see below), whose sum is σ = 115605504. Its totient is φ = 12254400.

The previous prime is 42888239. The next prime is 42888253. The reversal of 42888252 is 25288824.

42888252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42888252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42888253) 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 31 ways as a sum of consecutive naturals, for example, 192213 + ... + 192435.

It is an arithmetic number, because the mean of its divisors is an integer number (1204224).

Almost surely, 242888252 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 42888252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57802752).

42888252 is an abundant number, since it is smaller than the sum of its proper divisors (72717252).

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

42888252 is a wasteful number, since it uses less digits than its factorization.

42888252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 317 counting only the distinct ones).

The product of its digits is 81920, while the sum is 39.

The square root of 42888252 is about 6548.9122760959. The cubic root of 42888252 is about 350.0360561494.

The spelling of 42888252 in words is "forty-two million, eight hundred eighty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 47 62 66 93 94 124 132 141 186 188 223 282 341 372 446 517 564 669 682 892 1023 1034 1338 1364 1457 1551 2046 2068 2453 2676 2914 3102 4092 4371 4906 5828 6204 6913 7359 8742 9812 10481 13826 14718 16027 17484 20739 20962 27652 29436 31443 32054 41478 41924 48081 62886 64108 76043 82956 96162 115291 125772 152086 192324 228129 230582 304172 324911 345873 456258 461164 649822 691746 912516 974733 1299644 1383492 1949466 3574021 3898932 7148042 10722063 14296084 21444126 42888252