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63984375 = 3257713
BaseRepresentation
bin1111010000010…
…1001011110111
311110101202001200
43310011023313
5112340000000
610203223543
71404600240
oct364051367
9143352050
1063984375
1133132454
1219517bb3
13103436a0
1486d7cc7
15593d500
hex3d052f7

63984375 has 96 divisors (see below), whose sum is σ = 142187136. Its totient is φ = 27000000.

The previous prime is 63984373. The next prime is 63984377. The reversal of 63984375 is 57348936.

63984375 is a `hidden beast` number, since 639 + 8 + 4 + 3 + 7 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (63984373) and next prime (63984377).

It is not a de Polignac number, because 63984375 - 21 = 63984373 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (544320) is a multiple of the sum of its prime divisors (28).

It is a self number, because there is not a number n which added to its sum of digits gives 63984375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63984373) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4921869 + ... + 4921881.

It is an arithmetic number, because the mean of its divisors is an integer number (1481116).

Almost surely, 263984375 is an apocalyptic number.

63984375 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

63984375 is an abundant number, since it is smaller than the sum of its proper divisors (78202761).

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

63984375 is an frugal number, since it uses more digits than its factorization.

63984375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 28 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 63984375 is about 7999.0233778881. The cubic root of 63984375 is about 399.9674452672.

It can be divided in two parts, 63 and 984375, that multiplied together give a square (62015625 = 78752).

The spelling of 63984375 in words is "sixty-three million, nine hundred eighty-four thousand, three hundred seventy-five".

Divisors: 1 3 5 7 9 13 15 21 25 35 39 45 63 65 75 91 105 117 125 175 195 225 273 315 325 375 455 525 585 625 819 875 975 1125 1365 1575 1625 1875 2275 2625 2925 3125 4095 4375 4875 5625 6825 7875 8125 9375 11375 13125 14625 15625 20475 21875 24375 28125 34125 39375 40625 46875 56875 65625 73125 78125 102375 109375 121875 140625 170625 196875 203125 234375 284375 328125 365625 511875 546875 609375 703125 853125 984375 1015625 1421875 1640625 1828125 2559375 3046875 4265625 4921875 7109375 9140625 12796875 21328125 63984375