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38164540 = 22519671499
BaseRepresentation
bin1001000110010…
…1100000111100
32122210221220111
42101211200330
534232231130
63441555404
7642251611
oct221454074
978727814
1038164540
111a5a7647
1210945b64
137ba328b
1450d6508
15353d02a
hex246583c

38164540 has 48 divisors (see below), whose sum is σ = 85680000. Its totient is φ = 14236992.

The previous prime is 38164513. The next prime is 38164549. The reversal of 38164540 is 4546183.

It is a happy number.

It is a super-2 number, since 2×381645402 = 2913064226823200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38164549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24711 + ... + 26209.

It is an arithmetic number, because the mean of its divisors is an integer number (1785000).

Almost surely, 238164540 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 38164540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42840000).

38164540 is an abundant number, since it is smaller than the sum of its proper divisors (47515460).

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

38164540 is a wasteful number, since it uses less digits than its factorization.

38164540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 38164540 is about 6177.7455434811. The cubic root of 38164540 is about 336.6820871064.

The spelling of 38164540 in words is "thirty-eight million, one hundred sixty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 38 67 76 95 134 190 268 335 380 670 1273 1340 1499 2546 2998 5092 5996 6365 7495 12730 14990 25460 28481 29980 56962 100433 113924 142405 200866 284810 401732 502165 569620 1004330 1908227 2008660 3816454 7632908 9541135 19082270 38164540