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38613828 = 22311436803
BaseRepresentation
bin1001001101001…
…1001101000100
32200122210012210
42103103031010
534341120303
63455343420
7646132521
oct223231504
980583183
1038613828
111a884160
1210b21b70
137ccc926
1451b2148
1535cb203
hex24d3344

38613828 has 48 divisors (see below), whose sum is σ = 100590336. Its totient is φ = 11427360.

The previous prime is 38613823. The next prime is 38613859. The reversal of 38613828 is 82831683.

It is not an unprimeable number, because it can be changed into a prime (38613823) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2275 + ... + 9077.

It is an arithmetic number, because the mean of its divisors is an integer number (2095632).

Almost surely, 238613828 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 38613828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50295168).

38613828 is an abundant number, since it is smaller than the sum of its proper divisors (61976508).

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

38613828 is a wasteful number, since it uses less digits than its factorization.

38613828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6864 (or 6862 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 38613828 is about 6214.0025748305. The cubic root of 38613828 is about 337.9981209704.

The spelling of 38613828 in words is "thirty-eight million, six hundred thirteen thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 473 516 946 1419 1892 2838 5676 6803 13606 20409 27212 40818 74833 81636 149666 224499 292529 299332 448998 585058 877587 897996 1170116 1755174 3217819 3510348 6435638 9653457 12871276 19306914 38613828