Search a number
-
+
428149631 = 7136770223
BaseRepresentation
bin11001100001010…
…000101101111111
31002211122020212202
4121201100231333
51334101242011
6110252422115
713416132440
oct3141205577
91084566782
10428149631
111aa752178
12bb47793b
136a9192a0
1440c112c7
15278c423b
hex19850b7f

428149631 has 16 divisors (see below), whose sum is σ = 534825984. Its totient is φ = 333694944.

The previous prime is 428149627. The next prime is 428149633. The reversal of 428149631 is 136941824.

It is a cyclic number.

It is not a de Polignac number, because 428149631 - 22 = 428149627 is a prime.

It is a super-3 number, since 3×4281496313 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428149633) 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, 29015 + ... + 41208.

It is an arithmetic number, because the mean of its divisors is an integer number (33426624).

Almost surely, 2428149631 is an apocalyptic number.

428149631 is a deficient number, since it is larger than the sum of its proper divisors (106676353).

428149631 is a wasteful number, since it uses less digits than its factorization.

428149631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70310.

The product of its digits is 41472, while the sum is 38.

The square root of 428149631 is about 20691.7768932492. The cubic root of 428149631 is about 753.7000163403.

The spelling of 428149631 in words is "four hundred twenty-eight million, one hundred forty-nine thousand, six hundred thirty-one".

Divisors: 1 7 13 67 91 469 871 6097 70223 491561 912899 4704941 6390293 32934587 61164233 428149631