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38105532 = 2233477507
BaseRepresentation
bin1001000101011…
…1000110111100
32122200221222000
42101113012330
534223334112
63440422300
7641614563
oct221270674
978627860
1038105532
111a567283
1210917990
137b8246a
1450bcbda
15352a7dc
hex24571bc

38105532 has 48 divisors (see below), whose sum is σ = 100907520. Its totient is φ = 12429936.

The previous prime is 38105491. The next prime is 38105533. The reversal of 38105532 is 23550183.

38105532 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 junction number, because it is equal to n+sod(n) for n = 38105496 and 38105505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38105533) 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, 1323 + ... + 8829.

It is an arithmetic number, because the mean of its divisors is an integer number (2102240).

Almost surely, 238105532 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 38105532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50453760).

38105532 is an abundant number, since it is smaller than the sum of its proper divisors (62801988).

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

38105532 is a wasteful number, since it uses less digits than its factorization.

38105532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7567 (or 7559 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 38105532 is about 6172.9678437523. The cubic root of 38105532 is about 336.5084775684.

It can be divided in two parts, 38 and 105532, that added together give a triangular number (105570 = T459).

The spelling of 38105532 in words is "thirty-eight million, one hundred five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 423 564 846 1269 1692 2538 5076 7507 15014 22521 30028 45042 67563 90084 135126 202689 270252 352829 405378 705658 810756 1058487 1411316 2116974 3175461 4233948 6350922 9526383 12701844 19052766 38105532