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4638375 = 325371931
BaseRepresentation
bin10001101100011010100111
322201122122200
4101230122213
52141412000
6243225543
754265650
oct21543247
98648580
104638375
112688975
1216782b3
13c65301
1488a527
15619500
hex46c6a7

4638375 has 96 divisors (see below), whose sum is σ = 10383360. Its totient is φ = 1944000.

The previous prime is 4638353. The next prime is 4638377. The reversal of 4638375 is 5738364.

It is a happy number.

It is not a de Polignac number, because 4638375 - 27 = 4638247 is a prime.

4638375 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4638377) 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, 149610 + ... + 149640.

It is an arithmetic number, because the mean of its divisors is an integer number (108160).

Almost surely, 24638375 is an apocalyptic number.

4638375 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4638375 is an abundant number, since it is smaller than the sum of its proper divisors (5744985).

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

4638375 is a wasteful number, since it uses less digits than its factorization.

4638375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 65 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 4638375 is about 2153.6886961676. The cubic root of 4638375 is about 166.7715451004.

The spelling of 4638375 in words is "four million, six hundred thirty-eight thousand, three hundred seventy-five".

Divisors: 1 3 5 7 9 15 19 21 25 31 35 45 57 63 75 93 95 105 125 133 155 171 175 217 225 279 285 315 375 399 465 475 525 589 651 665 775 855 875 1085 1125 1197 1395 1425 1575 1767 1953 1995 2325 2375 2625 2945 3255 3325 3875 4123 4275 5301 5425 5985 6975 7125 7875 8835 9765 9975 11625 12369 14725 16275 16625 20615 21375 26505 27125 29925 34875 37107 44175 48825 49875 61845 73625 81375 103075 132525 149625 185535 220875 244125 309225 515375 662625 927675 1546125 4638375