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42034878 = 23219891381
BaseRepresentation
bin1010000001011…
…0011010111110
32221002121000100
42200112122332
541230104003
64100541530
71020201444
oct240263276
987077010
1042034878
1121800476
12120b18a6
138929b12
145822b94
153a54ba3
hex28166be

42034878 has 48 divisors (see below), whose sum is σ = 97016400. Its totient is φ = 13115520.

The previous prime is 42034877. The next prime is 42034879. The reversal of 42034878 is 87843024.

42034878 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42034877) and next prime (42034879).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42034871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29748 + ... + 31128.

It is an arithmetic number, because the mean of its divisors is an integer number (2021175).

Almost surely, 242034878 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42034878, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48508200).

42034878 is an abundant number, since it is smaller than the sum of its proper divisors (54981522).

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

42034878 is a wasteful number, since it uses less digits than its factorization.

42034878 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 42034878 is about 6483.4310361104. The cubic root of 42034878 is about 347.6988575944.

The spelling of 42034878 in words is "forty-two million, thirty-four thousand, eight hundred seventy-eight".

Divisors: 1 2 3 6 9 18 19 38 57 89 114 171 178 267 342 534 801 1381 1602 1691 2762 3382 4143 5073 8286 10146 12429 15219 24858 26239 30438 52478 78717 122909 157434 236151 245818 368727 472302 737454 1106181 2212362 2335271 4670542 7005813 14011626 21017439 42034878