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40455000 = 2332542931
BaseRepresentation
bin1001101001010…
…0101101011000
32211010022211100
42122110231120
540324030000
64003031400
71000601415
oct232245530
984108740
1040455000
1120921493
121166b560
1384c5991
14553110c
153841a00
hex2694b58

40455000 has 240 divisors, whose sum is σ = 146203200. Its totient is φ = 10080000.

The previous prime is 40454989. The next prime is 40455007. The reversal of 40455000 is 55404.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40455007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1304985 + ... + 1305015.

It is an arithmetic number, because the mean of its divisors is an integer number (609180).

Almost surely, 240455000 is an apocalyptic number.

40455000 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 40455000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73101600).

40455000 is an abundant number, since it is smaller than the sum of its proper divisors (105748200).

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

40455000 is a wasteful number, since it uses less digits than its factorization.

40455000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 40455000 is about 6360.4245141343. The cubic root of 40455000 is about 343.2870351579.

It can be divided in two parts, 4045 and 5000, that added together give a triangular number (9045 = T134).

The spelling of 40455000 in words is "forty million, four hundred fifty-five thousand".