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42378270 = 23511532423
BaseRepresentation
bin1010000110101…
…0010000011110
32221202001001120
42201222100132
541322101040
64112151410
71023131544
oct241522036
987661046
1042378270
1121a15470
1212238566
138a1a1cc
1458b1d94
153ac17d0
hex286a41e

42378270 has 64 divisors (see below), whose sum is σ = 113094144. Its totient is φ = 10075520.

The previous prime is 42378269. The next prime is 42378299. The reversal of 42378270 is 7287324.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 16279 + ... + 18701.

It is an arithmetic number, because the mean of its divisors is an integer number (1767096).

Almost surely, 242378270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42378270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56547072).

42378270 is an abundant number, since it is smaller than the sum of its proper divisors (70715874).

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

42378270 is a wasteful number, since it uses less digits than its factorization.

42378270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2497.

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 42378270 is about 6509.8594454873. The cubic root of 42378270 is about 348.6431000324.

The spelling of 42378270 in words is "forty-two million, three hundred seventy-eight thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 53 55 66 106 110 159 165 265 318 330 530 583 795 1166 1590 1749 2423 2915 3498 4846 5830 7269 8745 12115 14538 17490 24230 26653 36345 53306 72690 79959 128419 133265 159918 256838 266530 385257 399795 642095 770514 799590 1284190 1412609 1926285 2825218 3852570 4237827 7063045 8475654 14126090 21189135 42378270