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42296544 = 25321753163
BaseRepresentation
bin1010000101011…
…0010011100000
32221120212221200
42201112103200
541311442134
64110321200
71022341353
oct241262340
987525850
1042296544
112196a024
12121b9200
1389bbc54
14589029a
153aa7499
hex28564e0

42296544 has 144 divisors (see below), whose sum is σ = 130555152. Its totient is φ = 12939264.

The previous prime is 42296537. The next prime is 42296549. The reversal of 42296544 is 44569224.

42296544 is a `hidden beast` number, since 4 + 22 + 96 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42296499 and 42296508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42296549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259407 + ... + 259569.

It is an arithmetic number, because the mean of its divisors is an integer number (906633).

Almost surely, 242296544 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 42296544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65277576).

42296544 is an abundant number, since it is smaller than the sum of its proper divisors (88258608).

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

42296544 is a wasteful number, since it uses less digits than its factorization.

42296544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 238 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 42296544 is about 6503.5793221887. The cubic root of 42296544 is about 348.4188377559.

The spelling of 42296544 in words is "forty-two million, two hundred ninety-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 53 68 72 96 102 106 136 144 153 159 163 204 212 272 288 306 318 326 408 424 477 489 544 612 636 652 816 848 901 954 978 1224 1272 1304 1467 1632 1696 1802 1908 1956 2448 2544 2608 2703 2771 2934 3604 3816 3912 4896 5088 5216 5406 5542 5868 7208 7632 7824 8109 8313 8639 10812 11084 11736 14416 15264 15648 16218 16626 17278 21624 22168 23472 24939 25917 28832 32436 33252 34556 43248 44336 46944 49878 51834 64872 66504 69112 77751 86496 88672 99756 103668 129744 133008 138224 146863 155502 199512 207336 259488 266016 276448 293726 311004 399024 414672 440589 587452 622008 798048 829344 881178 1174904 1244016 1321767 1762356 2349808 2488032 2643534 3524712 4699616 5287068 7049424 10574136 14098848 21148272 42296544