Search a number
-
+
8876742 = 2372109277
BaseRepresentation
bin100001110111…
…001011000110
3121200222121020
4201313023012
54233023432
6514132010
7135310500
oct41671306
917628536
108876742
115013256
122b81006
131aba514
141270d70
15ba522c
hex8772c6

8876742 has 48 divisors (see below), whose sum is σ = 20916720. Its totient is φ = 2503872.

The previous prime is 8876729. The next prime is 8876759. The reversal of 8876742 is 2476788.

8876742 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 8876694 and 8876703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31908 + ... + 32184.

It is an arithmetic number, because the mean of its divisors is an integer number (435765).

Almost surely, 28876742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8876742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10458360).

8876742 is an abundant number, since it is smaller than the sum of its proper divisors (12039978).

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

8876742 is a wasteful number, since it uses less digits than its factorization.

8876742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 398 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The square root of 8876742 is about 2979.3861783931. The cubic root of 8876742 is about 207.0544326967.

The spelling of 8876742 in words is "eight million, eight hundred seventy-six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 109 147 218 277 294 327 554 654 763 831 1526 1662 1939 2289 3878 4578 5341 5817 10682 11634 13573 16023 27146 30193 32046 40719 60386 81438 90579 181158 211351 422702 634053 1268106 1479457 2958914 4438371 8876742