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38648664 = 2337472
BaseRepresentation
bin1001001101101…
…1101101011000
32200201120000000
42103123231120
534343224124
63500213000
7646336215
oct223335530
980646000
1038648664
111a8a834a
1210b3a160
138012742
1451c0b0c
1535d66c9
hex24dbb58

38648664 has 96 divisors (see below), whose sum is σ = 111044400. Its totient is φ = 12608784.

The previous prime is 38648657. The next prime is 38648669. The reversal of 38648664 is 46684683.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38648669) 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, 822289 + ... + 822335.

Almost surely, 238648664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38648664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55522200).

38648664 is an abundant number, since it is smaller than the sum of its proper divisors (72395736).

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

38648664 is an frugal number, since it uses more digits than its factorization.

38648664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 52 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 38648664 is about 6216.8049671837. The cubic root of 38648664 is about 338.0997336489.

The spelling of 38648664 in words is "thirty-eight million, six hundred forty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 81 94 108 141 162 188 216 243 282 324 376 423 486 564 648 729 846 972 1128 1269 1458 1692 1944 2187 2209 2538 2916 3384 3807 4374 4418 5076 5832 6627 7614 8748 8836 10152 11421 13254 15228 17496 17672 19881 22842 26508 30456 34263 39762 45684 53016 59643 68526 79524 91368 102789 119286 137052 159048 178929 205578 238572 274104 357858 411156 477144 536787 715716 822312 1073574 1431432 1610361 2147148 3220722 4294296 4831083 6441444 9662166 12882888 19324332 38648664