Search a number
-
+
38621024 = 2513263353
BaseRepresentation
bin1001001101010…
…0111101100000
32200200011002022
42103110331200
534341333044
63455441012
7646162511
oct223247540
980604068
1038621024
111a889602
1210b26168
138002ca0
1451b4a08
1535cd3ee
hex24d4f60

38621024 has 48 divisors (see below), whose sum is σ = 82428192. Its totient is φ = 17707008.

The previous prime is 38621021. The next prime is 38621029. The reversal of 38621024 is 42012683.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 38620984 and 38621002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38621021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109232 + ... + 109584.

It is an arithmetic number, because the mean of its divisors is an integer number (1717254).

Almost surely, 238621024 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 38621024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41214096).

38621024 is an abundant number, since it is smaller than the sum of its proper divisors (43807168).

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

38621024 is a wasteful number, since it uses less digits than its factorization.

38621024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 38621024 is about 6214.5815627442. The cubic root of 38621024 is about 338.0191158966.

The spelling of 38621024 in words is "thirty-eight million, six hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 263 353 416 526 706 1052 1412 2104 2824 3419 4208 4589 5648 6838 8416 9178 11296 13676 18356 27352 36712 54704 73424 92839 109408 146848 185678 371356 742712 1206907 1485424 2413814 2970848 4827628 9655256 19310512 38621024