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38151361 = 415397181
BaseRepresentation
bin1001000110001…
…0010011000001
32122210021211101
42101202103001
534231320421
63441414401
7642165313
oct221422301
978707741
1038151361
111a598756
121093a401
137b9a291
1450d17b3
153539191
hex24624c1

38151361 has 16 divisors (see below), whose sum is σ = 40452048. Its totient is φ = 35942400.

The previous prime is 38151313. The next prime is 38151371. The reversal of 38151361 is 16315183.

It can be written as a sum of positive squares in 8 ways, for example, as 9859600 + 28291761 = 3140^2 + 5319^2 .

It is a 2-Lehmer number, since φ(38151361) divides (38151361-1)2.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 38151361 - 215 = 38118593 is a prime.

It is a deceptive number, since it divides R38151360.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38151371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210691 + ... + 210871.

It is an arithmetic number, because the mean of its divisors is an integer number (2528253).

It is a Poulet number, since it divides 238151360-1.

Almost surely, 238151361 is an apocalyptic number.

It is an amenable number.

38151361 is a deficient number, since it is larger than the sum of its proper divisors (2300687).

38151361 is a wasteful number, since it uses less digits than its factorization.

38151361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372.

The product of its digits is 2160, while the sum is 28.

The square root of 38151361 is about 6176.6788001320. The cubic root of 38151361 is about 336.6433282300.

The spelling of 38151361 in words is "thirty-eight million, one hundred fifty-one thousand, three hundred sixty-one".

Divisors: 1 41 53 97 181 2173 3977 5141 7421 9593 17557 210781 393313 719837 930521 38151361