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42497784 = 23377347
BaseRepresentation
bin1010001000011…
…1011011111000
32221222010000000
42202013123320
541334412114
64114513000
71024140150
oct242073370
987863000
1042497784
1121a9723a
1212295760
138a5c724
145903760
153ae6e09
hex28876f8

42497784 has 128 divisors (see below), whose sum is σ = 136972800. Its totient is φ = 12107232.

The previous prime is 42497783. The next prime is 42497797. The reversal of 42497784 is 48779424.

42497784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42497783) 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, 122299 + ... + 122645.

It is an arithmetic number, because the mean of its divisors is an integer number (1070100).

Almost surely, 242497784 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 42497784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68486400).

42497784 is an abundant number, since it is smaller than the sum of its proper divisors (94475016).

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

42497784 is an equidigital number, since it uses as much as digits as its factorization.

42497784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 359 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 42497784 is about 6519.0324435456. The cubic root of 42497784 is about 348.9705368898.

The spelling of 42497784 in words is "forty-two million, four hundred ninety-seven thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 347 378 486 504 567 648 694 729 756 972 1041 1134 1388 1458 1512 1701 1944 2082 2187 2268 2429 2776 2916 3123 3402 4164 4374 4536 4858 5103 5832 6246 6804 7287 8328 8748 9369 9716 10206 12492 13608 14574 15309 17496 18738 19432 20412 21861 24984 28107 29148 30618 37476 40824 43722 56214 58296 61236 65583 74952 84321 87444 112428 122472 131166 168642 174888 196749 224856 252963 262332 337284 393498 505926 524664 590247 674568 758889 786996 1011852 1180494 1517778 1573992 1770741 2023704 2360988 3035556 3541482 4721976 5312223 6071112 7082964 10624446 14165928 21248892 42497784