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40465000 = 23548093
BaseRepresentation
bin1001101001011…
…1001001101000
32211010211112201
42122113021220
540324340000
64003145544
71000642522
oct232271150
984124481
1040465000
1120928a54
12116752b4
1384ca3b4
145534a12
15384496a
hex2697268

40465000 has 40 divisors (see below), whose sum is σ = 94821210. Its totient is φ = 16184000.

The previous prime is 40464997. The next prime is 40465031. The reversal of 40465000 is 56404.

It can be written as a sum of positive squares in 5 ways, for example, as 244036 + 40220964 = 494^2 + 6342^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 954 + ... + 9046.

Almost surely, 240465000 is an apocalyptic number.

40465000 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 40465000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47410605).

40465000 is an abundant number, since it is smaller than the sum of its proper divisors (54356210).

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

40465000 is an equidigital number, since it uses as much as digits as its factorization.

40465000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8119 (or 8100 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 40465000 is about 6361.2105766120. The cubic root of 40465000 is about 343.3153183329.

The spelling of 40465000 in words is "forty million, four hundred sixty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 8093 16186 32372 40465 64744 80930 161860 202325 323720 404650 809300 1011625 1618600 2023250 4046500 5058125 8093000 10116250 20232500 40465000