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42478528 = 2619181193
BaseRepresentation
bin1010001000001…
…0101111000000
32221221010120211
42202002233000
541333303103
64114243504
71024030051
oct242025700
987833524
1042478528
1121a83824
1212286594
138a53a31
1458da728
153ae136d
hex2882bc0

42478528 has 56 divisors (see below), whose sum is σ = 89682320. Its totient is φ = 19906560.

The previous prime is 42478523. The next prime is 42478549. The reversal of 42478528 is 82587424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42478523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220000 + ... + 220192.

It is an arithmetic number, because the mean of its divisors is an integer number (1601470).

Almost surely, 242478528 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 42478528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44841160).

42478528 is an abundant number, since it is smaller than the sum of its proper divisors (47203792).

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

42478528 is a wasteful number, since it uses less digits than its factorization.

42478528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 395 counting only the distinct ones).

The product of its digits is 143360, while the sum is 40.

The square root of 42478528 is about 6517.5553699221. Note that the first 3 decimals coincide. The cubic root of 42478528 is about 348.9178220484.

The spelling of 42478528 in words is "forty-two million, four hundred seventy-eight thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 181 193 304 362 386 608 724 772 1216 1448 1544 2896 3088 3439 3667 5792 6176 6878 7334 11584 12352 13756 14668 27512 29336 34933 55024 58672 69866 110048 117344 139732 220096 234688 279464 558928 663727 1117856 1327454 2235712 2654908 5309816 10619632 21239264 42478528