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64781440 = 275101221
BaseRepresentation
bin1111011100011…
…1110010000000
311111220020102121
43313013302000
5113041001230
610232254024
71414430113
oct367076200
9144806377
1064781440
1133627289
1219841314
1310562419
14886457a
155a4977a
hex3dc7c80

64781440 has 32 divisors (see below), whose sum is σ = 154869660. Its totient is φ = 25912320.

The previous prime is 64781419. The next prime is 64781443. The reversal of 64781440 is 4418746.

64781440 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 54997056 + 9784384 = 7416^2 + 3128^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 64781396 and 64781405.

It is not an unprimeable number, because it can be changed into a prime (64781443) 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, 49971 + ... + 51250.

Almost surely, 264781440 is an apocalyptic number.

It is an amenable number.

64781440 is an abundant number, since it is smaller than the sum of its proper divisors (90088220).

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

64781440 is a wasteful number, since it uses less digits than its factorization.

64781440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101240 (or 101228 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 64781440 is about 8048.6918191716. The cubic root of 64781440 is about 401.6214186235.

The spelling of 64781440 in words is "sixty-four million, seven hundred eighty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 101221 202442 404884 506105 809768 1012210 1619536 2024420 3239072 4048840 6478144 8097680 12956288 16195360 32390720 64781440