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38133126 = 2332330703
BaseRepresentation
bin1001000101110…
…1110110000110
32122202100211000
42101131312012
534230230001
63441154130
7642061203
oct221356606
978670730
1038133126
111a585a89
121092b946
137b91ba5
1450c8caa
153533a86
hex245dd86

38133126 has 32 divisors (see below), whose sum is σ = 88427520. Its totient is φ = 12157992.

The previous prime is 38133119. The next prime is 38133127. The reversal of 38133126 is 62133183.

It is a happy number.

38133126 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 (27).

It is a self number, because there is not a number n which added to its sum of digits gives 38133126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38133127) 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, 14110 + ... + 16593.

It is an arithmetic number, because the mean of its divisors is an integer number (2763360).

Almost surely, 238133126 is an apocalyptic number.

38133126 is an abundant number, since it is smaller than the sum of its proper divisors (50294394).

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

38133126 is a wasteful number, since it uses less digits than its factorization.

38133126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30737 (or 30731 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 38133126 is about 6175.2025068009. The cubic root of 38133126 is about 336.5896851514.

The spelling of 38133126 in words is "thirty-eight million, one hundred thirty-three thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 621 1242 30703 61406 92109 184218 276327 552654 706169 828981 1412338 1657962 2118507 4237014 6355521 12711042 19066563 38133126