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4377942 = 2331719251
BaseRepresentation
bin10000101100110101010110
322020102102000
4100230311112
52110043232
6233500130
752132452
oct20546526
98212360
104377942
112520238
121571646
13ba38ca
1481d662
155b727c
hex42cd56

4377942 has 64 divisors (see below), whose sum is σ = 10886400. Its totient is φ = 1296000.

The previous prime is 4377929. The next prime is 4377953. The reversal of 4377942 is 2497734.

It is a d-powerful number, because it can be written as 48 + 33 + 73 + 76 + 92 + 411 + 2 .

It is a junction number, because it is equal to n+sod(n) for n = 4377897 and 4377906.

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, 17317 + ... + 17567.

It is an arithmetic number, because the mean of its divisors is an integer number (170100).

Almost surely, 24377942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4377942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443200).

4377942 is an abundant number, since it is smaller than the sum of its proper divisors (6508458).

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

4377942 is a wasteful number, since it uses less digits than its factorization.

4377942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 292 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 4377942 is about 2092.3532206585. The cubic root of 4377942 is about 163.5899681600.

The spelling of 4377942 in words is "four million, three hundred seventy-seven thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 102 114 153 171 251 306 323 342 459 502 513 646 753 918 969 1026 1506 1938 2259 2907 4267 4518 4769 5814 6777 8534 8721 9538 12801 13554 14307 17442 25602 28614 38403 42921 76806 81073 85842 115209 128763 162146 230418 243219 257526 486438 729657 1459314 2188971 4377942