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638868825 = 325271937577
BaseRepresentation
bin100110000101000…
…101110101011001
31122112010220021100
4212011011311121
52302022300300
6143221102013
721555203220
oct4605056531
91575126240
10638868825
112a8696671
12159b57909
13a24875ba
1460bc3cb7
153b149700
hex26145d59

638868825 has 144 divisors (see below), whose sum is σ = 1416238720. Its totient is φ = 268738560.

The previous prime is 638868809. The next prime is 638868827. The reversal of 638868825 is 528868836.

It is not a de Polignac number, because 638868825 - 24 = 638868809 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (638868827) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1106937 + ... + 1107513.

Almost surely, 2638868825 is an apocalyptic number.

It is an amenable number.

638868825 is an abundant number, since it is smaller than the sum of its proper divisors (777369895).

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

638868825 is a wasteful number, since it uses less digits than its factorization.

638868825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 648 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The square root of 638868825 is about 25275.8545849591. The cubic root of 638868825 is about 861.2658593743.

The spelling of 638868825 in words is "six hundred thirty-eight million, eight hundred sixty-eight thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 9 15 19 21 25 35 37 45 57 63 75 95 105 111 133 171 175 185 225 259 285 315 333 399 475 525 555 577 665 703 777 855 925 1197 1295 1425 1575 1665 1731 1995 2109 2331 2775 2885 3325 3515 3885 4039 4275 4921 5193 5985 6327 6475 8325 8655 9975 10545 10963 11655 12117 14425 14763 17575 19425 20195 21349 24605 25965 29925 31635 32889 36351 43275 44289 52725 54815 58275 60585 64047 73815 76741 98667 100975 106745 123025 129825 149443 158175 164445 181755 192141 221445 230223 274075 302925 320235 369075 383705 405631 448329 493335 533725 690669 747215 822225 908775 960705 1107225 1151115 1216893 1344987 1601175 1918525 2028155 2241645 2466675 2839417 3453345 3650679 3736075 4803525 5755575 6084465 6724935 8518251 10140775 11208225 14197085 17266725 18253395 25554753 30422325 33624675 42591255 70985425 91266975 127773765 212956275 638868825