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42328656 = 243619191
BaseRepresentation
bin1010000101111…
…0001001010000
32221122112000000
42201132021100
541314004111
64111130000
71022534106
oct241361120
987575000
1042328656
1121991167
1212213900
138a00756
14589bc76
153ab1c56
hex285e250

42328656 has 140 divisors (see below), whose sum is σ = 130110720. Its totient is φ = 13296960.

The previous prime is 42328651. The next prime is 42328721. The reversal of 42328656 is 65682324.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42328656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42328651) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 221521 + ... + 221711.

Almost surely, 242328656 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 42328656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65055360).

42328656 is an abundant number, since it is smaller than the sum of its proper divisors (87782064).

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

42328656 is a wasteful number, since it uses less digits than its factorization.

42328656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 215 counting only the distinct ones).

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

The square root of 42328656 is about 6506.0476481501. The cubic root of 42328656 is about 348.5069899183.

The spelling of 42328656 in words is "forty-two million, three hundred twenty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 191 216 228 243 304 324 342 382 432 456 486 513 573 648 684 729 764 912 972 1026 1146 1296 1368 1458 1528 1539 1719 1944 2052 2292 2736 2916 3056 3078 3438 3629 3888 4104 4584 4617 5157 5832 6156 6876 7258 8208 9168 9234 10314 10887 11664 12312 13752 13851 14516 15471 18468 20628 21774 24624 27504 27702 29032 30942 32661 36936 41256 43548 46413 55404 58064 61884 65322 73872 82512 87096 92826 97983 110808 123768 130644 139239 174192 185652 195966 221616 247536 261288 278478 293949 371304 391932 522576 556956 587898 742608 783864 881847 1113912 1175796 1567728 1763694 2227824 2351592 2645541 3527388 4703184 5291082 7054776 10582164 14109552 21164328 42328656