Search a number
-
+
40688728 = 2319416529
BaseRepresentation
bin1001101100110…
…1110001011000
32211120012102221
42123031301120
540404014403
64012033424
71002564013
oct233156130
984505387
1040688728
1120a71053
1211762874
138578192
14559237a
15388adbd
hex26cdc58

40688728 has 32 divisors (see below), whose sum is σ = 82278000. Its totient is φ = 18800640.

The previous prime is 40688723. The next prime is 40688741. The reversal of 40688728 is 82788604.

40688728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40688723) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2968 + ... + 9496.

Almost surely, 240688728 is an apocalyptic number.

It is an amenable number.

40688728 is an abundant number, since it is smaller than the sum of its proper divisors (41589272).

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

40688728 is a wasteful number, since it uses less digits than its factorization.

40688728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6595 (or 6591 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The square root of 40688728 is about 6378.7716685895. The cubic root of 40688728 is about 343.9468775009.

The spelling of 40688728 in words is "forty million, six hundred eighty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 19 38 41 76 82 152 164 328 779 1558 3116 6232 6529 13058 26116 52232 124051 248102 267689 496204 535378 992408 1070756 2141512 5086091 10172182 20344364 40688728