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890424 = 233283149
BaseRepresentation
bin11011001011000111000
31200020102200
43121120320
5211443144
631030200
710365663
oct3313070
91606380
10890424
11558a97
1236b360
132523a2
141926da
15128c69
hexd9638

890424 has 48 divisors (see below), whose sum is σ = 2457000. Its totient is φ = 291264.

The previous prime is 890419. The next prime is 890429. The reversal of 890424 is 424098.

890424 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 (890419) and next prime (890429).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890429) by changing a digit.

890424 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5902 + ... + 6050.

2890424 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 890424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228500).

890424 is an abundant number, since it is smaller than the sum of its proper divisors (1566576).

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

890424 is a wasteful number, since it uses less digits than its factorization.

890424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 890424 is about 943.6228059982. The cubic root of 890424 is about 96.2052898545.

The spelling of 890424 in words is "eight hundred ninety thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 149 166 249 298 332 447 498 596 664 747 894 996 1192 1341 1494 1788 1992 2682 2988 3576 5364 5976 10728 12367 24734 37101 49468 74202 98936 111303 148404 222606 296808 445212 890424