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40155040 = 255250969
BaseRepresentation
bin1001100100101…
…1011110100000
32210120002100201
42121023132200
540234430130
63552354544
7665212042
oct231133640
983502321
1040155040
1120737092
1211545a54
13841c2a3
145493a92
1537d2bca
hex264b7a0

40155040 has 24 divisors (see below), whose sum is σ = 94866660. Its totient is φ = 16061952.

The previous prime is 40155007. The next prime is 40155041. The reversal of 40155040 is 4055104.

It can be written as a sum of positive squares in 2 ways, for example, as 37015056 + 3139984 = 6084^2 + 1772^2 .

It is a super-2 number, since 2×401550402 = 3224854474803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40154999 and 40155017.

It is not an unprimeable number, because it can be changed into a prime (40155041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125325 + ... + 125644.

Almost surely, 240155040 is an apocalyptic number.

40155040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40155040 is an abundant number, since it is smaller than the sum of its proper divisors (54711620).

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

40155040 is a wasteful number, since it uses less digits than its factorization.

40155040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250984 (or 250976 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 40155040 is about 6336.8004544881. The cubic root of 40155040 is about 342.4364774658.

The spelling of 40155040 in words is "forty million, one hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 250969 501938 1003876 1254845 2007752 2509690 4015504 5019380 8031008 10038760 20077520 40155040