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38452401 = 34132532
BaseRepresentation
bin1001001010101…
…1110010110001
32200100120210000
42102223302301
534320434101
63452100213
7644561061
oct222536261
980316700
1038452401
111a783949
1210a64669
137c74300
14516d3a1
153598486
hex24abcb1

38452401 has 45 divisors (see below), whose sum is σ = 63395409. Its totient is φ = 23216544.

The previous prime is 38452391. The next prime is 38452411. The reversal of 38452401 is 10425483.

The square root of 38452401 is 6201.

It is a perfect power (a square), and thus also a powerful number.

38452401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38452391) and next prime (38452411).

It can be written as a sum of positive squares in 4 ways, for example, as 998001 + 37454400 = 999^2 + 6120^2 .

It is not a de Polignac number, because 38452401 - 217 = 38321329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (38452411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 725491 + ... + 725543.

Almost surely, 238452401 is an apocalyptic number.

38452401 is the 6201-st square number.

38452401 is the 3101-st centered octagonal number.

It is an amenable number.

38452401 is a deficient number, since it is larger than the sum of its proper divisors (24943008).

38452401 is an equidigital number, since it uses as much as digits as its factorization.

38452401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The cubic root of 38452401 is about 337.5264571852.

Adding to 38452401 its reverse (10425483), we get a palindrome (48877884).

The spelling of 38452401 in words is "thirty-eight million, four hundred fifty-two thousand, four hundred one".

Divisors: 1 3 9 13 27 39 53 81 117 159 169 351 477 507 689 1053 1431 1521 2067 2809 4293 4563 6201 8427 8957 13689 18603 25281 26871 36517 55809 75843 80613 109551 227529 241839 328653 474721 725517 985959 1424163 2957877 4272489 12817467 38452401