Search a number
-
+
10042884 = 2232318999
BaseRepresentation
bin100110010011…
…111000000100
3200220020020200
4212103320010
510032333014
6555130500
7151235355
oct46237004
920806220
1010042884
11573a405
123443a30
132108247
141495d2c
15d35a09
hex993e04

10042884 has 36 divisors (see below), whose sum is σ = 26208000. Its totient is φ = 3239280.

The previous prime is 10042883. The next prime is 10042897. The reversal of 10042884 is 48824001.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (10042883) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3384 + ... + 5615.

It is an arithmetic number, because the mean of its divisors is an integer number (728000).

Almost surely, 210042884 is an apocalyptic number.

It is an amenable number.

10042884 is an abundant number, since it is smaller than the sum of its proper divisors (16165116).

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

10042884 is a wasteful number, since it uses less digits than its factorization.

10042884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9040 (or 9035 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 10042884 is about 3169.0509620390. The cubic root of 10042884 is about 215.7509990747.

Adding to 10042884 its reverse (48824001), we get a palindrome (58866885).

The spelling of 10042884 in words is "ten million, forty-two thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 8999 17998 26997 35996 53994 80991 107988 161982 278969 323964 557938 836907 1115876 1673814 2510721 3347628 5021442 10042884