Search a number
-
+
40849625600 = 295271632797
BaseRepresentation
bin100110000010110100…
…111101001000000000
310220102212202222201022
4212002310331020000
51132130001004400
630433245125012
72644202042240
oct460264751000
9126385688638
1040849625600
1116362604363
127b00559768
133b100bc2c4
141d97373b20
1510e13b2b85
hex982d3d200

40849625600 has 240 divisors, whose sum is σ = 116417661888. Its totient is φ = 13914685440.

The previous prime is 40849625549. The next prime is 40849625603. The reversal of 40849625600 is 652694804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40849625603) 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 23 ways as a sum of consecutive naturals, for example, 14603402 + ... + 14606198.

Almost surely, 240849625600 is an apocalyptic number.

40849625600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40849625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58208830944).

40849625600 is an abundant number, since it is smaller than the sum of its proper divisors (75568036288).

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

40849625600 is a wasteful number, since it uses less digits than its factorization.

40849625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 40849625600 in words is "forty billion, eight hundred forty-nine million, six hundred twenty-five thousand, six hundred".