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638238000 = 24353106373
BaseRepresentation
bin100110000010101…
…011110100110000
31122110221211221110
4212002223310300
52301342104000
6143155353320
721546635121
oct4602536460
91573854843
10638238000
112a82a5724
121598b2840
13a22c642a
1460a9c048
153b072850
hex260abd30

638238000 has 80 divisors (see below), whose sum is σ = 2057698656. Its totient is φ = 170195200.

The previous prime is 638237993. The next prime is 638238043. The reversal of 638238000 is 832836.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 47187 + ... + 59186.

Almost surely, 2638238000 is an apocalyptic number.

638238000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

638238000 is an abundant number, since it is smaller than the sum of its proper divisors (1419460656).

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

638238000 is a wasteful number, since it uses less digits than its factorization.

638238000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106399 (or 106383 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 638238000 is about 25263.3726964552. The cubic root of 638238000 is about 860.9822920570.

The spelling of 638238000 in words is "six hundred thirty-eight million, two hundred thirty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 106373 212746 319119 425492 531865 638238 850984 1063730 1276476 1595595 1701968 2127460 2552952 2659325 3191190 4254920 5105904 5318650 6382380 7977975 8509840 10637300 12764760 13296625 15955950 21274600 25529520 26593250 31911900 39889875 42549200 53186500 63823800 79779750 106373000 127647600 159559500 212746000 319119000 638238000