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42284496 = 24331157181
BaseRepresentation
bin1010000101001…
…1010111010000
32221120021102110
42201103113100
541311100441
64110145320
71022261262
oct241232720
987507373
1042284496
1121960a71
12121b2240
1389b6617
145889b32
153aa3b16
hex28535d0

42284496 has 80 divisors (see below), whose sum is σ = 114103808. Its totient is φ = 13478400.

The previous prime is 42284483. The next prime is 42284503. The reversal of 42284496 is 69448224.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 233526 + ... + 233706.

Almost surely, 242284496 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 42284496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57051904).

42284496 is an abundant number, since it is smaller than the sum of its proper divisors (71819312).

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

42284496 is a wasteful number, since it uses less digits than its factorization.

42284496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 374 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 42284496 is about 6502.6529970467. The cubic root of 42284496 is about 348.3857527140.

The spelling of 42284496 in words is "forty-two million, two hundred eighty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 157 181 186 248 314 362 372 471 496 543 628 724 744 942 1086 1256 1448 1488 1884 2172 2512 2896 3768 4344 4867 5611 7536 8688 9734 11222 14601 16833 19468 22444 28417 29202 33666 38936 44888 56834 58404 67332 77872 85251 89776 113668 116808 134664 170502 227336 233616 269328 341004 454672 682008 880927 1364016 1761854 2642781 3523708 5285562 7047416 10571124 14094832 21142248 42284496