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42874208 = 2513234481
BaseRepresentation
bin1010001110001…
…1010101100000
32222200020100122
42203203111200
541433433313
64130535412
71030265456
oct243432540
988606318
1042874208
1122224033
1212437568
138b61b70
1459a09d6
153b6d708
hex28e3560

42874208 has 48 divisors (see below), whose sum is σ = 94874976. Its totient is φ = 18923520.

The previous prime is 42874201. The next prime is 42874213. The reversal of 42874208 is 80247824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42874201) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7328 + ... + 11808.

It is an arithmetic number, because the mean of its divisors is an integer number (1976562).

Almost surely, 242874208 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 42874208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47437488).

42874208 is an abundant number, since it is smaller than the sum of its proper divisors (52000768).

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

42874208 is a wasteful number, since it uses less digits than its factorization.

42874208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4527 (or 4519 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The square root of 42874208 is about 6547.8399491741. The cubic root of 42874208 is about 349.9978448847.

The spelling of 42874208 in words is "forty-two million, eight hundred seventy-four thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 299 368 416 598 736 1196 2392 4481 4784 8962 9568 17924 35848 58253 71696 103063 116506 143392 206126 233012 412252 466024 824504 932048 1339819 1649008 1864096 2679638 3298016 5359276 10718552 21437104 42874208