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42202888 = 23713291999
BaseRepresentation
bin1010000011111…
…1011100001000
32221102010110221
42200333130020
541300443023
64104315424
71021501330
oct240773410
987363427
1042202888
1121905722
1212172b74
138988430
1458680c0
153a8985d
hex283f708

42202888 has 64 divisors (see below), whose sum is σ = 100800000. Its totient is φ = 16111872.

The previous prime is 42202883. The next prime is 42202921. The reversal of 42202888 is 88820224.

It is not an unprimeable number, because it can be changed into a prime (42202883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20113 + ... + 22111.

It is an arithmetic number, because the mean of its divisors is an integer number (1575000).

Almost surely, 242202888 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 42202888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50400000).

42202888 is an abundant number, since it is smaller than the sum of its proper divisors (58597112).

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

42202888 is a wasteful number, since it uses less digits than its factorization.

42202888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 42202888 is about 6496.3749891767. The cubic root of 42202888 is about 348.1614831649.

The spelling of 42202888 in words is "forty-two million, two hundred two thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 29 52 56 58 91 104 116 182 203 232 364 377 406 728 754 812 1508 1624 1999 2639 3016 3998 5278 7996 10556 13993 15992 21112 25987 27986 51974 55972 57971 103948 111944 115942 181909 207896 231884 363818 405797 463768 727636 753623 811594 1455272 1507246 1623188 3014492 3246376 5275361 6028984 10550722 21101444 42202888