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40959424 = 261173797
BaseRepresentation
bin1001110000111…
…1110111000000
32212001221202201
42130033313000
540441200144
64021522544
71005102142
oct234176700
985057681
1040959424
1121136470
1211873454
13864145c
145622c92
1538e11d4
hex270fdc0

40959424 has 56 divisors (see below), whose sum is σ = 89995248. Its totient is φ = 18339840.

The previous prime is 40959379. The next prime is 40959431. The reversal of 40959424 is 42495904.

It is a happy number.

40959424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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, 50994 + ... + 51790.

It is an arithmetic number, because the mean of its divisors is an integer number (1607058).

Almost surely, 240959424 is an apocalyptic number.

40959424 is a gapful number since it is divisible by the number (44) 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 40959424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44997624).

40959424 is an abundant number, since it is smaller than the sum of its proper divisors (49035824).

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

40959424 is a wasteful number, since it uses less digits than its factorization.

40959424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 40959424 is about 6399.9549998418. The cubic root of 40959424 is about 344.7079345715.

The spelling of 40959424 in words is "forty million, nine hundred fifty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 73 88 146 176 292 352 584 704 797 803 1168 1594 1606 2336 3188 3212 4672 6376 6424 8767 12752 12848 17534 25504 25696 35068 51008 51392 58181 70136 116362 140272 232724 280544 465448 561088 639991 930896 1279982 1861792 2559964 3723584 5119928 10239856 20479712 40959424