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38693052 = 2234307389
BaseRepresentation
bin1001001110011…
…0100010111100
32200210210220000
42103212202330
534401134202
63501154300
7646612506
oct223464274
980723800
1038693052
111a928732
1210b5b990
1380299c8
1451d2d76
1535e491c
hex24e68bc

38693052 has 60 divisors (see below), whose sum is σ = 101741640. Its totient is φ = 12822624.

The previous prime is 38693051. The next prime is 38693059. The reversal of 38693052 is 25039683.

38693052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 38692998 and 38693016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38693051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 99274 + ... + 99662.

It is an arithmetic number, because the mean of its divisors is an integer number (1695694).

Almost surely, 238693052 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 38693052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50870820).

38693052 is an abundant number, since it is smaller than the sum of its proper divisors (63048588).

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

38693052 is a wasteful number, since it uses less digits than its factorization.

38693052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 38693052 is about 6220.3739437433. The cubic root of 38693052 is about 338.2291200035.

The spelling of 38693052 in words is "thirty-eight million, six hundred ninety-three thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 307 324 389 614 778 921 1167 1228 1556 1842 2334 2763 3501 3684 4668 5526 7002 8289 10503 11052 14004 16578 21006 24867 31509 33156 42012 49734 63018 99468 119423 126036 238846 358269 477692 716538 1074807 1433076 2149614 3224421 4299228 6448842 9673263 12897684 19346526 38693052