Search a number
-
+
38926656 = 26352503
BaseRepresentation
bin1001010001111…
…1100101000000
32201020200100000
42110133211000
534431123111
63510200000
7651604536
oct224374500
981220300
1038926656
111aa7819a
1211053000
1380ac132
145254156
15363dc56
hex251f940

38926656 has 84 divisors (see below), whose sum is σ = 115754912. Its totient is φ = 12970368.

The previous prime is 38926639. The next prime is 38926663. The reversal of 38926656 is 65662983.

It is a happy number.

38926656 is a `hidden beast` number, since 389 + 266 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14301 + ... + 16803.

Almost surely, 238926656 is an apocalyptic number.

38926656 is a gapful number since it is divisible by the number (36) 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 38926656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57877456).

38926656 is an abundant number, since it is smaller than the sum of its proper divisors (76828256).

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

38926656 is an equidigital number, since it uses as much as digits as its factorization.

With its successor (38926657) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (2508).

38926656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530 (or 2508 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 38926656 is about 6239.1230152963. The cubic root of 38926656 is about 338.9084254178.

The spelling of 38926656 in words is "thirty-eight million, nine hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2503 2592 3888 5006 5184 7509 7776 10012 15018 15552 20024 22527 30036 40048 45054 60072 67581 80096 90108 120144 135162 160192 180216 202743 240288 270324 360432 405486 480576 540648 608229 720864 810972 1081296 1216458 1441728 1621944 2162592 2432916 3243888 4325184 4865832 6487776 9731664 12975552 19463328 38926656