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42076224 = 2632174297
BaseRepresentation
bin1010000010000…
…0100001000000
32221011200201200
42200200201000
541232414344
64101501200
71020433131
oct240404100
987150650
1042076224
1121829543
1212111800
138942898
145833c88
153a62069
hex2820840

42076224 has 84 divisors (see below), whose sum is σ = 127727964. Its totient is φ = 13197312.

The previous prime is 42076217. The next prime is 42076247. The reversal of 42076224 is 42267024.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 27878400 + 14197824 = 5280^2 + 3768^2 .

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 11 ways as a sum of consecutive naturals, for example, 7644 + ... + 11940.

It is an arithmetic number, because the mean of its divisors is an integer number (1520571).

Almost surely, 242076224 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 42076224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63863982).

42076224 is an abundant number, since it is smaller than the sum of its proper divisors (85651740).

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

42076224 is a wasteful number, since it uses less digits than its factorization.

42076224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4332 (or 4319 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 42076224 is about 6486.6188418929. The cubic root of 42076224 is about 347.8128204650.

The spelling of 42076224 in words is "forty-two million, seventy-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4297 4896 8594 9792 12891 17188 25782 34376 38673 51564 68752 73049 77346 103128 137504 146098 154692 206256 219147 275008 292196 309384 412512 438294 584392 618768 657441 825024 876588 1168784 1237536 1314882 1753176 2337568 2475072 2629764 3506352 4675136 5259528 7012704 10519056 14025408 21038112 42076224