Search a number
-
+
40553532 = 22325961313
BaseRepresentation
bin1001101010110…
…0110000111100
32211022022222200
42122230300330
540340203112
64005111500
71001461605
oct232546074
984268880
1040553532
1120989518
12116b8590
13852b796
145558dac
153860cdc
hex26acc3c

40553532 has 72 divisors (see below), whose sum is σ = 106295280. Its totient is φ = 13029120.

The previous prime is 40553519. The next prime is 40553563. The reversal of 40553532 is 23535504.

40553532 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 = 40553496 and 40553505.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 129408 + ... + 129720.

Almost surely, 240553532 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 40553532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53147640).

40553532 is an abundant number, since it is smaller than the sum of its proper divisors (65741748).

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

40553532 is a wasteful number, since it uses less digits than its factorization.

40553532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 40553532 is about 6368.1655129244. The cubic root of 40553532 is about 343.5655119355.

The spelling of 40553532 in words is "forty million, five hundred fifty-three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 59 61 118 122 177 183 236 244 313 354 366 531 549 626 708 732 939 1062 1098 1252 1878 2124 2196 2817 3599 3756 5634 7198 10797 11268 14396 18467 19093 21594 32391 36934 38186 43188 55401 57279 64782 73868 76372 110802 114558 129564 166203 171837 221604 229116 332406 343674 664812 687348 1126487 2252974 3379461 4505948 6758922 10138383 13517844 20276766 40553532