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40491680 = 255972609
BaseRepresentation
bin1001101001110…
…1101010100000
32211012012010212
42122131222200
540331213210
64003513252
71001113355
oct232355240
984165125
1040491680
1120946aa9
1211688828
138509598
14554062c
15384c805
hex269daa0

40491680 has 48 divisors (see below), whose sum is σ = 96684840. Its totient is φ = 16023552.

The previous prime is 40491677. The next prime is 40491683. The reversal of 40491680 is 8619404.

It is an interprime number because it is at equal distance from previous prime (40491677) and next prime (40491683).

It can be written as a sum of positive squares in 4 ways, for example, as 31225744 + 9265936 = 5588^2 + 3044^2 .

It is a super-2 number, since 2×404916802 = 3279152298444800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (40491683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14216 + ... + 16824.

Almost surely, 240491680 is an apocalyptic number.

40491680 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 40491680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48342420).

40491680 is an abundant number, since it is smaller than the sum of its proper divisors (56193160).

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

40491680 is a wasteful number, since it uses less digits than its factorization.

40491680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2721 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 40491680 is about 6363.3073161682. The cubic root of 40491680 is about 343.3907550506.

The spelling of 40491680 in words is "forty million, four hundred ninety-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 97 160 194 388 485 776 970 1552 1940 2609 3104 3880 5218 7760 10436 13045 15520 20872 26090 41744 52180 83488 104360 208720 253073 417440 506146 1012292 1265365 2024584 2530730 4049168 5061460 8098336 10122920 20245840 40491680