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42475776 = 28377901
BaseRepresentation
bin1010001000001…
…0000100000000
32221220222210220
42202002010000
541333211101
64114223040
71024016040
oct242020400
987828726
1042475776
1121a81752
1212284a80
138a526c5
1458d9720
153ae0636
hex2882100

42475776 has 72 divisors (see below), whose sum is σ = 129213504. Its totient is φ = 12134400.

The previous prime is 42475751. The next prime is 42475793. The reversal of 42475776 is 67757424.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1426 + ... + 9326.

It is an arithmetic number, because the mean of its divisors is an integer number (1794632).

Almost surely, 242475776 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 42475776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64606752).

42475776 is an abundant number, since it is smaller than the sum of its proper divisors (86737728).

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

42475776 is an equidigital number, since it uses as much as digits as its factorization.

42475776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7927 (or 7913 counting only the distinct ones).

The product of its digits is 329280, while the sum is 42.

The square root of 42475776 is about 6517.3442443989. The cubic root of 42475776 is about 348.9102869271.

The spelling of 42475776 in words is "forty-two million, four hundred seventy-five thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 7901 15802 23703 31604 47406 55307 63208 94812 110614 126416 165921 189624 221228 252832 331842 379248 442456 505664 663684 758496 884912 1011328 1327368 1516992 1769824 2022656 2654736 3033984 3539648 5309472 6067968 7079296 10618944 14158592 21237888 42475776