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40553952 = 2533113627
BaseRepresentation
bin1001101010110…
…0110111100000
32211022100120020
42122230313200
540340211302
64005113440
71001463045
oct232546740
984270506
1040553952
112098986a
12116b8880
13852ba2a
1455591cc
153860ebc
hex26acde0

40553952 has 48 divisors (see below), whose sum is σ = 109896192. Its totient is φ = 13080960.

The previous prime is 40553941. The next prime is 40553971. The reversal of 40553952 is 25935504.

40553952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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, 3838 + ... + 9789.

It is an arithmetic number, because the mean of its divisors is an integer number (2289504).

Almost surely, 240553952 is an apocalyptic number.

It is an amenable number.

40553952 is an abundant number, since it is smaller than the sum of its proper divisors (69342240).

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

40553952 is a wasteful number, since it uses less digits than its factorization.

40553952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13671 (or 13663 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 40553952 is about 6368.1984893689. The cubic root of 40553952 is about 343.5666979975.

The spelling of 40553952 in words is "forty million, five hundred fifty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 13627 27254 40881 54508 81762 109016 163524 218032 327048 422437 436064 654096 844874 1267311 1308192 1689748 2534622 3379496 5069244 6758992 10138488 13517984 20276976 40553952