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38649060 = 22325415237
BaseRepresentation
bin1001001101101…
…1110011100100
32200201120112200
42103123303210
534343232220
63500214500
7646340322
oct223336344
980646480
1038649060
111a8a867a
1210b3a430
138012988
1451c0d12
1535d6890
hex24dbce4

38649060 has 72 divisors (see below), whose sum is σ = 120117816. Its totient is φ = 10053120.

The previous prime is 38649049. The next prime is 38649067. The reversal of 38649060 is 6094683.

38649060 is a `hidden beast` number, since 3 + 8 + 649 + 0 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2143296 + 36505764 = 1464^2 + 6042^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38649067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4762 + ... + 9998.

It is an arithmetic number, because the mean of its divisors is an integer number (1668303).

Almost surely, 238649060 is an apocalyptic number.

38649060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38649060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60058908).

38649060 is an abundant number, since it is smaller than the sum of its proper divisors (81468756).

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

38649060 is a wasteful number, since it uses less digits than its factorization.

38649060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5293 (or 5288 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 38649060 is about 6216.8368162595. The cubic root of 38649060 is about 338.1008883851.

The spelling of 38649060 in words is "thirty-eight million, six hundred forty-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 5237 7380 10474 15711 20948 26185 31422 47133 52370 62844 78555 94266 104740 157110 188532 214717 235665 314220 429434 471330 644151 858868 942660 1073585 1288302 1932453 2147170 2576604 3220755 3864906 4294340 6441510 7729812 9662265 12883020 19324530 38649060