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40484672 = 264347313
BaseRepresentation
bin1001101001101…
…1111101000000
32211011211112022
42122123331000
540331002142
64003421012
71001054054
oct232337500
984154468
1040484672
1120941808
1211684768
138506337
14553bc64
15384a6d2
hex269bf40

40484672 has 56 divisors (see below), whose sum is σ = 84222336. Its totient is φ = 19289088.

The previous prime is 40484657. The next prime is 40484677. The reversal of 40484672 is 27648404.

40484672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40484677) 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, 129188 + ... + 129500.

Almost surely, 240484672 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 40484672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42111168).

40484672 is an abundant number, since it is smaller than the sum of its proper divisors (43737664).

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

40484672 is a wasteful number, since it uses less digits than its factorization.

40484672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

The square root of 40484672 is about 6362.7566352957. The cubic root of 40484672 is about 343.3709433983.

The spelling of 40484672 in words is "forty million, four hundred eighty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 43 47 64 86 94 172 188 313 344 376 626 688 752 1252 1376 1504 2021 2504 2752 3008 4042 5008 8084 10016 13459 14711 16168 20032 26918 29422 32336 53836 58844 64672 107672 117688 129344 215344 235376 430688 470752 632573 861376 941504 1265146 2530292 5060584 10121168 20242336 40484672