Search a number
-
+
40049130 = 23511157773
BaseRepresentation
bin1001100011000…
…1100111101010
32210100201002010
42120301213222
540223033010
63550220350
7664261212
oct230614752
983321063
1040049130
1120674560
12114b46b6
1383b3014
145467242
1537b1620
hex26319ea

40049130 has 64 divisors (see below), whose sum is σ = 105660288. Its totient is φ = 9634560.

The previous prime is 40049111. The next prime is 40049153. The reversal of 40049130 is 3194004.

40049130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40049097 and 40049106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51424 + ... + 52196.

It is an arithmetic number, because the mean of its divisors is an integer number (1650942).

Almost surely, 240049130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40049130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52830144).

40049130 is an abundant number, since it is smaller than the sum of its proper divisors (65611158).

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

40049130 is a wasteful number, since it uses less digits than its factorization.

40049130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 40049130 is about 6328.4381959532. The cubic root of 40049130 is about 342.1351505789.

The spelling of 40049130 in words is "forty million, forty-nine thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 157 165 314 330 471 773 785 942 1546 1570 1727 2319 2355 3454 3865 4638 4710 5181 7730 8503 8635 10362 11595 17006 17270 23190 25509 25905 42515 51018 51810 85030 121361 127545 242722 255090 364083 606805 728166 1213610 1334971 1820415 2669942 3640830 4004913 6674855 8009826 13349710 20024565 40049130