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38123932 = 22711413019
BaseRepresentation
bin1001000101101…
…1100110011100
32122201220012111
42101123212130
534224431212
63441043404
7642022330
oct221334634
978656174
1038123932
111a57a090
1210926564
137b8a952
1450c57c0
153530ea7
hex245b99c

38123932 has 48 divisors (see below), whose sum is σ = 85236480. Its totient is φ = 14486400.

The previous prime is 38123923. The next prime is 38123933. The reversal of 38123932 is 23932183.

38123932 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×381239322 = 2906868382281248, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 38123894 and 38123903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38123933) 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 15 ways as a sum of consecutive naturals, for example, 11119 + ... + 14137.

It is an arithmetic number, because the mean of its divisors is an integer number (1775760).

Almost surely, 238123932 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 38123932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42618240).

38123932 is an abundant number, since it is smaller than the sum of its proper divisors (47112548).

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

38123932 is a wasteful number, since it uses less digits than its factorization.

38123932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082 (or 3080 counting only the distinct ones).

The product of its digits is 7776, while the sum is 31.

The square root of 38123932 is about 6174.4580328965. The cubic root of 38123932 is about 336.5626320820.

It can be divided in two parts, 3812 and 3932, that added together give a square (7744 = 882).

The spelling of 38123932 in words is "thirty-eight million, one hundred twenty-three thousand, nine hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 41 44 77 82 154 164 287 308 451 574 902 1148 1804 3019 3157 6038 6314 12076 12628 21133 33209 42266 66418 84532 123779 132836 232463 247558 464926 495116 866453 929852 1361569 1732906 2723138 3465812 5446276 9530983 19061966 38123932