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64401415 = 5133121031
BaseRepresentation
bin1111010110101…
…1000000000111
311111011221010121
43311223000013
5112441321130
610220202411
71411255141
oct365530007
9144157117
1064401415
1133397811
1219699407
131045b460
1487a5c91
1559c1d7a
hex3d6b007

64401415 has 24 divisors (see below), whose sum is σ = 86081184. Its totient is φ = 45979200.

The previous prime is 64401409. The next prime is 64401419. The reversal of 64401415 is 51410446.

64401415 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 64401415 - 25 = 64401383 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 64401415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64401419) 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 23 ways as a sum of consecutive naturals, for example, 61950 + ... + 62980.

It is an arithmetic number, because the mean of its divisors is an integer number (3586716).

Almost surely, 264401415 is an apocalyptic number.

64401415 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

64401415 is a deficient number, since it is larger than the sum of its proper divisors (21679769).

64401415 is a wasteful number, since it uses less digits than its factorization.

64401415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 64401415 is about 8025.0492210329. The cubic root of 64401415 is about 400.8345389012.

It can be divided in two parts, 644014 and 15, that multiplied together give a triangular number (9660210 = T4395).

The spelling of 64401415 in words is "sixty-four million, four hundred one thousand, four hundred fifteen".

Divisors: 1 5 13 31 65 155 403 961 1031 2015 4805 5155 12493 13403 31961 62465 67015 159805 415493 990791 2077465 4953955 12880283 64401415