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40451984 = 242987181
BaseRepresentation
bin1001101001001…
…1111110010000
32211010011200122
42122103332100
540323430414
64003005412
71000556546
oct232237620
984104618
1040451984
112091a1a1
1211669868
1384c44b1
14552dd96
153840b8e
hex2693f90

40451984 has 20 divisors (see below), whose sum is σ = 81079260. Its totient is φ = 19528320.

The previous prime is 40451981. The next prime is 40452019. The reversal of 40451984 is 48915404.

It is a happy number.

40451984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 29376400 + 11075584 = 5420^2 + 3328^2 .

It is not an unprimeable number, because it can be changed into a prime (40451981) 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 3 ways as a sum of consecutive naturals, for example, 43127 + ... + 44054.

It is an arithmetic number, because the mean of its divisors is an integer number (4053963).

Almost surely, 240451984 is an apocalyptic number.

It is an amenable number.

40451984 is an abundant number, since it is smaller than the sum of its proper divisors (40627276).

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

40451984 is a wasteful number, since it uses less digits than its factorization.

40451984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87218 (or 87212 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 40451984 is about 6360.1874186222. The cubic root of 40451984 is about 343.2785040375.

The spelling of 40451984 in words is "forty million, four hundred fifty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 87181 174362 348724 697448 1394896 2528249 5056498 10112996 20225992 40451984