Search a number
-
+
40097488 = 2429103839
BaseRepresentation
bin1001100011110…
…1011011010000
32210110011102011
42120331123100
540231104423
63551232304
7664552204
oct230753320
983404364
1040097488
11206a7922
1211518694
1383cc032
14547ab04
1537c0b0d
hex263d6d0

40097488 has 40 divisors (see below), whose sum is σ = 81244800. Its totient is φ = 19146624.

The previous prime is 40097483. The next prime is 40097489. The reversal of 40097488 is 88479004.

40097488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 40097488.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40097483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47373 + ... + 48211.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 240097488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40097488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40622400).

40097488 is an abundant number, since it is smaller than the sum of its proper divisors (41147312).

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

40097488 is a wasteful number, since it uses less digits than its factorization.

40097488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 40097488 is about 6332.2577332260. The cubic root of 40097488 is about 342.2728008176.

The spelling of 40097488 in words is "forty million, ninety-seven thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 29 58 103 116 206 232 412 464 824 839 1648 1678 2987 3356 5974 6712 11948 13424 23896 24331 47792 48662 86417 97324 172834 194648 345668 389296 691336 1382672 2506093 5012186 10024372 20048744 40097488