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38845044 = 22327219261
BaseRepresentation
bin1001010000101…
…1101001110100
32201002112101100
42110023221310
534421020134
63504330100
7651114600
oct224135164
981075340
1038845044
111aa21947
1211013930
138080c44
145232500
153624999
hex250ba74

38845044 has 162 divisors, whose sum is σ = 122527314. Its totient is φ = 10342080.

The previous prime is 38845031. The next prime is 38845049. The reversal of 38845044 is 44054883.

It can be written as a sum of positive squares in only one way, i.e., 22924944 + 15920100 = 4788^2 + 3990^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38845049) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 636774 + ... + 636834.

Almost surely, 238845044 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 38845044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61263657).

38845044 is an abundant number, since it is smaller than the sum of its proper divisors (83682270).

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

38845044 is a wasteful number, since it uses less digits than its factorization.

38845044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 38845044 is about 6232.5792413735. The cubic root of 38845044 is about 338.6714126235.

The spelling of 38845044 in words is "thirty-eight million, eight hundred forty-five thousand, forty-four".