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40180900 = 2252401809
BaseRepresentation
bin1001100101000…
…1110010100100
32210121101211111
42121101302210
540241242100
63553114404
7665350324
oct231216244
983541744
1040180900
1120754561
1211558a04
13842aca6
14549d284
1537da6ba
hex2651ca4

40180900 has 18 divisors (see below), whose sum is σ = 87192770. Its totient is φ = 16072320.

The previous prime is 40180871. The next prime is 40180937. The reversal of 40180900 is 908104.

It can be written as a sum of positive squares in 3 ways, for example, as 968256 + 39212644 = 984^2 + 6262^2 .

It is a super-2 number, since 2×401809002 = 3229009449620000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 200805 + ... + 201004.

Almost surely, 240180900 is an apocalyptic number.

It is an amenable number.

40180900 is an abundant number, since it is smaller than the sum of its proper divisors (47011870).

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

40180900 is a wasteful number, since it uses less digits than its factorization.

40180900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401823 (or 401816 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 40180900 is about 6338.8405879940. The cubic root of 40180900 is about 342.5099718268.

The spelling of 40180900 in words is "forty million, one hundred eighty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 401809 803618 1607236 2009045 4018090 8036180 10045225 20090450 40180900