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41997520 = 245524969
BaseRepresentation
bin1010000000110…
…1010011010000
32221000200202201
42200031103100
541222410040
64100052544
71016654515
oct240152320
987020681
1041997520
11217853a4
1212094154
138915b06
14581330c
153a48a9a
hex280d4d0

41997520 has 20 divisors (see below), whose sum is σ = 97644420. Its totient is φ = 16798976.

The previous prime is 41997511. The next prime is 41997533. The reversal of 41997520 is 2579914.

It can be written as a sum of positive squares in 2 ways, for example, as 23541904 + 18455616 = 4852^2 + 4296^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-4 number, since 4×419975204 (a number of 32 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41997520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 262405 + ... + 262564.

It is an arithmetic number, because the mean of its divisors is an integer number (4882221).

Almost surely, 241997520 is an apocalyptic number.

41997520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41997520 is an abundant number, since it is smaller than the sum of its proper divisors (55646900).

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

41997520 is a wasteful number, since it uses less digits than its factorization.

41997520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524982 (or 524976 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 41997520 is about 6480.5493594293. The cubic root of 41997520 is about 347.5958226507.

The spelling of 41997520 in words is "forty-one million, nine hundred ninety-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 524969 1049938 2099876 2624845 4199752 5249690 8399504 10499380 20998760 41997520