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42499728 = 243517643
BaseRepresentation
bin1010001000011…
…1111010010000
32221222012200000
42202013322100
541334442403
64114530000
71024145625
oct242077220
987865600
1042499728
1121a98747
1212296900
138a6058b
14590434c
153ae77a3
hex2887e90

42499728 has 120 divisors (see below), whose sum is σ = 130804128. Its totient is φ = 13312512.

The previous prime is 42499727. The next prime is 42499733. The reversal of 42499728 is 82799424.

It is not an unprimeable number, because it can be changed into a prime (42499727) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 65775 + ... + 66417.

Almost surely, 242499728 is an apocalyptic number.

42499728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42499728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65402064).

42499728 is an abundant number, since it is smaller than the sum of its proper divisors (88304400).

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

42499728 is a wasteful number, since it uses less digits than its factorization.

42499728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 665 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 42499728 is about 6519.1815437216. The cubic root of 42499728 is about 348.9758578604.

The spelling of 42499728 in words is "forty-two million, four hundred ninety-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 243 272 306 324 408 432 459 486 612 643 648 816 918 972 1224 1286 1296 1377 1836 1929 1944 2448 2572 2754 3672 3858 3888 4131 5144 5508 5787 7344 7716 8262 10288 10931 11016 11574 15432 16524 17361 21862 22032 23148 30864 32793 33048 34722 43724 46296 52083 65586 66096 69444 87448 92592 98379 104166 131172 138888 156249 174896 196758 208332 262344 277776 295137 312498 393516 416664 524688 590274 624996 787032 833328 885411 1180548 1249992 1574064 1770822 2361096 2499984 2656233 3541644 4722192 5312466 7083288 10624932 14166576 21249864 42499728