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38164480 = 21153727
BaseRepresentation
bin1001000110010…
…1100000000000
32122210221211021
42101211200000
534232230410
63441555224
7642251464
oct221454000
978727737
1038164480
111a5a75a2
1210945b14
137ba3243
1450d64a4
15353ceda
hex2465800

38164480 has 48 divisors (see below), whose sum is σ = 91596960. Its totient is φ = 15261696.

The previous prime is 38164463. The next prime is 38164513. The reversal of 38164480 is 8446183.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8377 + ... + 12103.

It is an arithmetic number, because the mean of its divisors is an integer number (1908270).

Almost surely, 238164480 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 38164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45798480).

38164480 is an abundant number, since it is smaller than the sum of its proper divisors (53432480).

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

38164480 is an equidigital number, since it uses as much as digits as its factorization.

38164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3754 (or 3734 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 38164480 is about 6177.7406873387. The cubic root of 38164480 is about 336.6819106692.

The spelling of 38164480 in words is "thirty-eight million, one hundred sixty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 3727 5120 7454 10240 14908 18635 29816 37270 59632 74540 119264 149080 238528 298160 477056 596320 954112 1192640 1908224 2385280 3816448 4770560 7632896 9541120 19082240 38164480