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42578376 = 23331151379
BaseRepresentation
bin1010001001101…
…1000111001000
32222010012112220
42202123013020
541400002001
64120334040
71024624131
oct242330710
988105486
1042578376
1122041845
1212314320
138a8a309
145924c88
153b10c36
hex289b1c8

42578376 has 64 divisors (see below), whose sum is σ = 110899200. Its totient is φ = 13608000.

The previous prime is 42578357. The next prime is 42578383. The reversal of 42578376 is 67387524.

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, 112155 + ... + 112533.

It is an arithmetic number, because the mean of its divisors is an integer number (1732800).

Almost surely, 242578376 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 42578376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55449600).

42578376 is an abundant number, since it is smaller than the sum of its proper divisors (68320824).

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

42578376 is a wasteful number, since it uses less digits than its factorization.

42578376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 566 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 42578376 is about 6525.2108011926. The cubic root of 42578376 is about 349.1909913189.

The spelling of 42578376 in words is "forty-two million, five hundred seventy-eight thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 151 186 248 302 372 379 453 604 744 758 906 1137 1208 1516 1812 2274 3032 3624 4548 4681 9096 9362 11749 14043 18724 23498 28086 35247 37448 46996 56172 57229 70494 93992 112344 114458 140988 171687 228916 281976 343374 457832 686748 1373496 1774099 3548198 5322297 7096396 10644594 14192792 21289188 42578376