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40497408 = 2836731
BaseRepresentation
bin1001101001111…
…1000100000000
32211012111000000
42122133010000
540331404113
64004000000
71001136150
oct232370400
984174000
1040497408
1120950336
1211690000
13850c083
145542760
15384e373
hex269f100

40497408 has 252 divisors, whose sum is σ = 142981888. Its totient is φ = 11197440.

The previous prime is 40497389. The next prime is 40497419. The reversal of 40497408 is 80479404.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1306353 + ... + 1306383.

Almost surely, 240497408 is an apocalyptic number.

40497408 is a gapful number since it is divisible by the number (48) 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 40497408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71490944).

40497408 is an abundant number, since it is smaller than the sum of its proper divisors (102484480).

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

40497408 is an frugal number, since it uses more digits than its factorization.

40497408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 40497408 is about 6363.7573806675. The cubic root of 40497408 is about 343.4069464386.

The spelling of 40497408 in words is "forty million, four hundred ninety-seven thousand, four hundred eight".