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40147952 = 2413251769
BaseRepresentation
bin1001100100100…
…1101111110000
32210112201122012
42121021233300
540234213302
63552302052
7665152265
oct231115760
983481565
1040147952
1120731829
1211541928
138418cb0
14549126c
1537d0a52
hex2649bf0

40147952 has 40 divisors (see below), whose sum is σ = 84213360. Its totient is φ = 18432000.

The previous prime is 40147927. The next prime is 40147957. The reversal of 40147952 is 25974104.

It is a happy number.

40147952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401479522 = 3223716099588608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40147957) 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, 51824 + ... + 52592.

It is an arithmetic number, because the mean of its divisors is an integer number (2105334).

Almost surely, 240147952 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 40147952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42106680).

40147952 is an abundant number, since it is smaller than the sum of its proper divisors (44065408).

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

40147952 is a wasteful number, since it uses less digits than its factorization.

40147952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 40147952 is about 6336.2411570268. The cubic root of 40147952 is about 342.4163277945.

The spelling of 40147952 in words is "forty million, one hundred forty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 251 502 769 1004 1538 2008 3076 3263 4016 6152 6526 9997 12304 13052 19994 26104 39988 52208 79976 159952 193019 386038 772076 1544152 2509247 3088304 5018494 10036988 20073976 40147952