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5541408 = 253271271
BaseRepresentation
bin10101001000111000100000
3101102112101100
4111020320200
52404311113
6314434400
765046465
oct25107040
911375340
105541408
113145384
121a32a00
1311c0352
14a4366c
15746d73
hex548e20

5541408 has 72 divisors (see below), whose sum is σ = 16039296. Its totient is φ = 1814400.

The previous prime is 5541397. The next prime is 5541421. The reversal of 5541408 is 8041455.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20313 + ... + 20583.

It is an arithmetic number, because the mean of its divisors is an integer number (222768).

Almost surely, 25541408 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 5541408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8019648).

5541408 is an abundant number, since it is smaller than the sum of its proper divisors (10497888).

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

5541408 is a wasteful number, since it uses less digits than its factorization.

5541408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 5541408 is about 2354.0195411253. The cubic root of 5541408 is about 176.9592935214.

The spelling of 5541408 in words is "five million, five hundred forty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 213 271 284 288 426 542 568 639 813 852 1084 1136 1278 1626 1704 2168 2272 2439 2556 3252 3408 4336 4878 5112 6504 6816 8672 9756 10224 13008 19241 19512 20448 26016 38482 39024 57723 76964 78048 115446 153928 173169 230892 307856 346338 461784 615712 692676 923568 1385352 1847136 2770704 5541408