Search a number
-
+
40630032 = 2433163577
BaseRepresentation
bin1001101011111…
…1011100010000
32211110012221000
42122333130100
540400130112
64010502000
71002230622
oct232773420
984405830
1040630032
1120a30a43
1211734900
138557551
145578c12
1538787dc
hex26bf710

40630032 has 80 divisors (see below), whose sum is σ = 117542080. Its totient is φ = 13436928.

The previous prime is 40630019. The next prime is 40630039. The reversal of 40630032 is 23003604.

40630032 is a `hidden beast` number, since 4 + 0 + 630 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40629987 and 40630014.

It is not an unprimeable number, because it can be changed into a prime (40630039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70128 + ... + 70704.

It is an arithmetic number, because the mean of its divisors is an integer number (1469276).

Almost surely, 240630032 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 40630032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58771040).

40630032 is an abundant number, since it is smaller than the sum of its proper divisors (76912048).

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

40630032 is a wasteful number, since it uses less digits than its factorization.

40630032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 40630032 is about 6374.1691223249. The cubic root of 40630032 is about 343.7814097139.

Adding to 40630032 its reverse (23003604), we get a palindrome (63633636).

The spelling of 40630032 in words is "forty million, six hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 163 216 326 432 489 577 652 978 1154 1304 1467 1731 1956 2308 2608 2934 3462 3912 4401 4616 5193 5868 6924 7824 8802 9232 10386 11736 13848 15579 17604 20772 23472 27696 31158 35208 41544 62316 70416 83088 94051 124632 188102 249264 282153 376204 564306 752408 846459 1128612 1504816 1692918 2257224 2539377 3385836 4514448 5078754 6771672 10157508 13543344 20315016 40630032