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5481625428 = 223445737021
BaseRepresentation
bin1010001101011101…
…01111011101010100
3112011000122102110000
411012232233131110
542211244003203
62303534131300
7252561022146
oct50656573524
915130572400
105481625428
112363264354
12108b950b30
1369487c356
143a0032c96
152213904a3
hex146baf754

5481625428 has 60 divisors (see below), whose sum is σ = 14361796372. Its totient is φ = 1823160960.

The previous prime is 5481625427. The next prime is 5481625451. The reversal of 5481625428 is 8245261845.

5481625428 is a `hidden beast` number, since 5 + 48 + 1 + 62 + 542 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2538345924 + 2943279504 = 50382^2 + 54252^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5481625427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 129558 + ... + 166578.

Almost surely, 25481625428 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 5481625428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7180898186).

5481625428 is an abundant number, since it is smaller than the sum of its proper divisors (8880170944).

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

5481625428 is a wasteful number, since it uses less digits than its factorization.

5481625428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37494 (or 37483 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 5481625428 is about 74037.9998919474. Note that the first 3 decimals coincide. The cubic root of 5481625428 is about 1763.2062581951.

The spelling of 5481625428 in words is "five billion, four hundred eighty-one million, six hundred twenty-five thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 457 914 1371 1828 2742 4113 5484 8226 12339 16452 24678 37017 37021 49356 74034 74042 111063 148068 148084 222126 333189 444252 666378 999567 1332756 1999134 2998701 3998268 5997402 11994804 16918597 33837194 50755791 67674388 101511582 152267373 203023164 304534746 456802119 609069492 913604238 1370406357 1827208476 2740812714 5481625428