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5054458428 = 22331712232251
BaseRepresentation
bin1001011010100010…
…01110101000111100
3111001020212002111000
410231101032220330
540322420132203
62153314330300
7236153121255
oct45521165074
914036762430
105054458428
112164123478
12b90889990
13627218406
1435d3d9b2c
151e8b124a3
hex12d44ea3c

5054458428 has 96 divisors (see below), whose sum is σ = 13892497920. Its totient is φ = 1583712000.

The previous prime is 5054458397. The next prime is 5054458429. The reversal of 5054458428 is 8248544505.

5054458428 is a `hidden beast` number, since 5 + 0 + 5 + 44 + 584 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5054458429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2244303 + ... + 2246553.

It is an arithmetic number, because the mean of its divisors is an integer number (144713520).

Almost surely, 25054458428 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 5054458428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6946248960).

5054458428 is an abundant number, since it is smaller than the sum of its proper divisors (8838039492).

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

5054458428 is a wasteful number, since it uses less digits than its factorization.

5054458428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3504 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 1024000, while the sum is 45.

The square root of 5054458428 is about 71094.7144870841. The cubic root of 5054458428 is about 1716.1617163843.

The spelling of 5054458428 in words is "five billion, fifty-four million, four hundred fifty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1223 1836 2251 2446 3669 4502 4892 6753 7338 9004 11007 13506 14676 20259 20791 22014 27012 33021 38267 40518 41582 44028 60777 62373 66042 76534 81036 83164 114801 121554 124746 132084 153068 187119 229602 243108 249492 344403 374238 459204 561357 688806 748476 1033209 1122714 1377612 2066418 2245428 2752973 4132836 5505946 8258919 11011892 16517838 24776757 33035676 46800541 49553514 74330271 93601082 99107028 140401623 148660542 187202164 280803246 297321084 421204869 561606492 842409738 1263614607 1684819476 2527229214 5054458428