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5541904728 = 2332411919829
BaseRepresentation
bin1010010100101001…
…01100000101011000
3112022020001221002200
411022110230011120
542322211422403
62313530130200
7254222261433
oct51224540530
915266057080
105541904728
112394296058
1210a7b80960
136a41c6489
143a804481a
152267eaca3
hex14a52c158

5541904728 has 96 divisors (see below), whose sum is σ = 15457478400. Its totient is φ = 1792627200.

The previous prime is 5541904691. The next prime is 5541904759. The reversal of 5541904728 is 8274091455.

5541904728 is a `hidden beast` number, since 55 + 41 + 90 + 472 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 558918 + ... + 568746.

It is an arithmetic number, because the mean of its divisors is an integer number (161015400).

Almost surely, 25541904728 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 5541904728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7728739200).

5541904728 is an abundant number, since it is smaller than the sum of its proper divisors (9915573672).

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

5541904728 is a wasteful number, since it uses less digits than its factorization.

5541904728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10073 (or 10066 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 5541904728 is about 74443.9703938472. The cubic root of 5541904728 is about 1769.6458086647.

The spelling of 5541904728 in words is "five billion, five hundred forty-one million, nine hundred four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 191 246 328 369 382 492 573 738 764 984 1146 1476 1528 1719 2292 2952 3438 4584 6876 7831 9829 13752 15662 19658 23493 29487 31324 39316 46986 58974 62648 70479 78632 88461 93972 117948 140958 176922 187944 235896 281916 353844 402989 563832 707688 805978 1208967 1611956 1877339 2417934 3223912 3626901 3754678 4835868 5632017 7253802 7509356 9671736 11264034 14507604 15018712 16896051 22528068 29015208 33792102 45056136 67584204 76970899 135168408 153941798 230912697 307883596 461825394 615767192 692738091 923650788 1385476182 1847301576 2770952364 5541904728