Search a number
-
+
40752299160 = 23325113200831
BaseRepresentation
bin100101111101000001…
…101011110010011000
310220012002122021221100
4211331001223302120
51131430042033120
630415451111400
72641610553546
oct457501536230
9126162567840
1040752299160
1116312679591
127a93a42560
133ac5ba36b1
141d8847ad96
1510d7a8a490
hex97d06bc98

40752299160 has 48 divisors (see below), whose sum is σ = 132444973440. Its totient is φ = 10867279680.

The previous prime is 40752299153. The next prime is 40752299171. The reversal of 40752299160 is 6199225704.

40752299160 is a `hidden beast` number, since 407 + 5 + 229 + 9 + 16 + 0 = 666.

40752299160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×407522991602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56600056 + ... + 56600775.

It is an arithmetic number, because the mean of its divisors is an integer number (2759270280).

Almost surely, 240752299160 is an apocalyptic number.

40752299160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40752299160 is an abundant number, since it is smaller than the sum of its proper divisors (91692674280).

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

40752299160 is a wasteful number, since it uses less digits than its factorization.

40752299160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113200848 (or 113200841 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 40752299160 in words is "forty billion, seven hundred fifty-two million, two hundred ninety-nine thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 113200831 226401662 339602493 452803324 566004155 679204986 905606648 1018807479 1132008310 1358409972 1698012465 2037614958 2264016620 2716819944 3396024930 4075229916 4528033240 5094037395 6792049860 8150459832 10188074790 13584099720 20376149580 40752299160