Search a number
-
+
4386942 = 232737941
BaseRepresentation
bin10000101111000001111110
322020212202100
4100233001332
52110340232
6234005530
752200630
oct20570176
98225670
104386942
112526a7a
1215768a6
13ba7a31
14822a50
155b9c7c
hex42f07e

4386942 has 48 divisors (see below), whose sum is σ = 11168352. Its totient is φ = 1218240.

The previous prime is 4386919. The next prime is 4386947. The reversal of 4386942 is 2496834.

It is a happy number.

It is a super-2 number, since 2×43869422 = 38490520222728, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4386897 and 4386906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4386947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4192 + ... + 5132.

It is an arithmetic number, because the mean of its divisors is an integer number (232674).

Almost surely, 24386942 is an apocalyptic number.

4386942 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4386942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5584176).

4386942 is an abundant number, since it is smaller than the sum of its proper divisors (6781410).

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

4386942 is a wasteful number, since it uses less digits than its factorization.

4386942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 990 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 4386942 is about 2094.5028049635. The cubic root of 4386942 is about 163.7019920256.

The spelling of 4386942 in words is "four million, three hundred eighty-six thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 666 777 941 1554 1882 2331 2823 4662 5646 6587 8469 13174 16938 19761 34817 39522 59283 69634 104451 118566 208902 243719 313353 487438 626706 731157 1462314 2193471 4386942