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38831461249 = 72281512
BaseRepresentation
bin100100001010100010…
…010001001110000001
310201020020020121200111
4210022202101032001
51114011323224444
625501112551321
72543164655200
oct441242211601
9121206217614
1038831461249
1115517390639
1276386b2541
13387ac55209
141c4530b237
151024113234
hex90a891381

38831461249 has 9 divisors (see below), whose sum is σ = 45172896321. Its totient is φ = 33282927300.

The previous prime is 38831461247. The next prime is 38831461259. The reversal of 38831461249 is 94216413883.

It is a happy number.

The square root of 38831461249 is 197057.

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

It is not a de Polignac number, because 38831461249 - 21 = 38831461247 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (38831461247) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1365324 + ... + 1393474.

Almost surely, 238831461249 is an apocalyptic number.

38831461249 is the 197057-th square number.

38831461249 is the 98529-th centered octagonal number.

It is an amenable number.

38831461249 is a deficient number, since it is larger than the sum of its proper divisors (6341435072).

38831461249 is an frugal number, since it uses more digits than its factorization.

38831461249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56316 (or 28158 counting only the distinct ones).

The product of its digits is 995328, while the sum is 49.

Multiplying 38831461249 by its sum of digits (49), we get a square (1902741601201 = 13793992).

38831461249 divided by its sum of digits (49) gives a square (792478801 = 281512).

The spelling of 38831461249 in words is "thirty-eight billion, eight hundred thirty-one million, four hundred sixty-one thousand, two hundred forty-nine".

Divisors: 1 7 49 28151 197057 1379399 792478801 5547351607 38831461249