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64671488 = 287151239
BaseRepresentation
bin1111011010110…
…0111100000000
311111200122121022
43312230330000
5113023441423
610230045012
71413461420
oct366547400
9144618538
1064671488
1133561712
12197a9768
131052436b
148836480
155a26dc8
hex3dacf00

64671488 has 72 divisors (see below), whose sum is σ = 149130240. Its totient is φ = 27417600.

The previous prime is 64671461. The next prime is 64671491. The reversal of 64671488 is 88417646.

64671488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

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, 270473 + ... + 270711.

Almost surely, 264671488 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 64671488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74565120).

64671488 is an abundant number, since it is smaller than the sum of its proper divisors (84458752).

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

64671488 is a wasteful number, since it uses less digits than its factorization.

64671488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 399 counting only the distinct ones).

The product of its digits is 258048, while the sum is 44.

The square root of 64671488 is about 8041.8584916672. The cubic root of 64671488 is about 401.3940691173.

The spelling of 64671488 in words is "sixty-four million, six hundred seventy-one thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 151 224 239 256 302 448 478 604 896 956 1057 1208 1673 1792 1912 2114 2416 3346 3824 4228 4832 6692 7648 8456 9664 13384 15296 16912 19328 26768 30592 33824 36089 38656 53536 61184 67648 72178 107072 135296 144356 214144 252623 270592 288712 428288 505246 577424 1010492 1154848 2020984 2309696 4041968 4619392 8083936 9238784 16167872 32335744 64671488