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42378444 = 2233794967
BaseRepresentation
bin1010000110101…
…0010011001100
32221202001022000
42201222103030
541322102234
64112152300
71023132213
oct241522314
987661260
1042378444
1121a15609
1212238690
138a1a304
1458b207a
153ac1899
hex286a4cc

42378444 has 48 divisors (see below), whose sum is σ = 111283200. Its totient is φ = 13944528.

The previous prime is 42378439. The next prime is 42378451. The reversal of 42378444 is 44487324.

It is a happy number.

It is a super-2 number, since 2×423784442 = 3591865031722272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 42378399 and 42378408.

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, 6049 + ... + 11015.

It is an arithmetic number, because the mean of its divisors is an integer number (2318400).

Almost surely, 242378444 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 42378444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55641600).

42378444 is an abundant number, since it is smaller than the sum of its proper divisors (68904756).

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

42378444 is a wasteful number, since it uses less digits than its factorization.

42378444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5059 (or 5051 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 42378444 is about 6509.8728098174. The cubic root of 42378444 is about 348.6435771937.

The spelling of 42378444 in words is "forty-two million, three hundred seventy-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 108 158 237 316 474 711 948 1422 2133 2844 4266 4967 8532 9934 14901 19868 29802 44703 59604 89406 134109 178812 268218 392393 536436 784786 1177179 1569572 2354358 3531537 4708716 7063074 10594611 14126148 21189222 42378444