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40839552 = 273513101
BaseRepresentation
bin1001101111001…
…0100110000000
32211211212100000
42123302212000
540423331202
64015200000
71004062515
oct233624600
984755300
1040839552
11210643a6
1211816000
1385cba20
1455d130c
1538ba91c
hex26f2980

40839552 has 192 divisors, whose sum is σ = 132546960. Its totient is φ = 12441600.

The previous prime is 40839509. The next prime is 40839553. The reversal of 40839552 is 25593804.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40839553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404302 + ... + 404402.

Almost surely, 240839552 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 40839552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66273480).

40839552 is an abundant number, since it is smaller than the sum of its proper divisors (91707408).

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

40839552 is a wasteful number, since it uses less digits than its factorization.

40839552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 40839552 is about 6390.5830719896. The cubic root of 40839552 is about 344.3713314893.

The spelling of 40839552 in words is "forty million, eight hundred thirty-nine thousand, five hundred fifty-two".