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42246576 = 2433195147
BaseRepresentation
bin1010000100101…
…0000110110000
32221111100102000
42201022012300
541303342301
64105254000
71022042601
oct241120660
987440360
1042246576
1121935529
1212194300
1389a2298
145879da8
153a97786
hex284a1b0

42246576 has 80 divisors (see below), whose sum is σ = 127670400. Its totient is φ = 13338432.

The previous prime is 42246571. The next prime is 42246619. The reversal of 42246576 is 67564224.

42246576 is a `hidden beast` number, since 42 + 2 + 46 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42246576.

It is not an unprimeable number, because it can be changed into a prime (42246571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5635 + ... + 10781.

It is an arithmetic number, because the mean of its divisors is an integer number (1595880).

Almost surely, 242246576 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 42246576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63835200).

42246576 is an abundant number, since it is smaller than the sum of its proper divisors (85423824).

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

42246576 is a wasteful number, since it uses less digits than its factorization.

42246576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5183 (or 5171 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 42246576 is about 6499.7366100481. The cubic root of 42246576 is about 348.2815794745.

The spelling of 42246576 in words is "forty-two million, two hundred forty-six thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 5147 8208 10294 15441 20588 30882 41176 46323 61764 82352 92646 97793 123528 138969 185292 195586 247056 277938 293379 370584 391172 555876 586758 741168 782344 880137 1111752 1173516 1564688 1760274 2223504 2347032 2640411 3520548 4694064 5280822 7041096 10561644 14082192 21123288 42246576