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38042144 = 257169831
BaseRepresentation
bin1001000100011…
…1101000100000
32122120202000022
42101013220200
534214322034
63435213012
7641232020
oct221075040
978522008
1038042144
111a523698
12108a7168
137b5c65a
1450a3a80
153516b2e
hex2447a20

38042144 has 24 divisors (see below), whose sum is σ = 85595328. Its totient is φ = 16303680.

The previous prime is 38042111. The next prime is 38042149. The reversal of 38042144 is 44124083.

It is not an unprimeable number, because it can be changed into a prime (38042149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 84692 + ... + 85139.

It is an arithmetic number, because the mean of its divisors is an integer number (3566472).

Almost surely, 238042144 is an apocalyptic number.

It is an amenable number.

38042144 is an abundant number, since it is smaller than the sum of its proper divisors (47553184).

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

38042144 is a wasteful number, since it uses less digits than its factorization.

38042144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169848 (or 169840 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 38042144 is about 6167.8313855033. The cubic root of 38042144 is about 336.3217816837.

It can be divided in two parts, 380 and 42144, that added together give a palindrome (42524).

The spelling of 38042144 in words is "thirty-eight million, forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 169831 339662 679324 1188817 1358648 2377634 2717296 4755268 5434592 9510536 19021072 38042144