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5441616 = 2432233153
BaseRepresentation
bin10100110000100001010000
3101020110111100
4110300201100
52343112431
6312344400
764152525
oct24604120
911213440
105441616
113087404
1219a5100
131186abb
14a1914c
157274e6
hex530850

5441616 has 120 divisors (see below), whose sum is σ = 16713216. Its totient is φ = 1647360.

The previous prime is 5441591. The next prime is 5441617. The reversal of 5441616 is 6161445.

5441616 is a `hidden beast` number, since 5 + 4 + 41 + 616 = 666.

It is a super-2 number, since 2×54416162 = 59222369382912, which contains 22 as substring.

5441616 is a modest number, since divided by 1616 gives 544 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 5441616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5441617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102646 + ... + 102698.

Almost surely, 25441616 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 5441616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8356608).

5441616 is an abundant number, since it is smaller than the sum of its proper divisors (11271600).

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

5441616 is a wasteful number, since it uses less digits than its factorization.

5441616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 112 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 5441616 is about 2332.7271593566. The cubic root of 5441616 is about 175.8906000562.

The spelling of 5441616 in words is "five million, four hundred forty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 31 36 46 48 53 62 69 72 92 93 106 124 138 144 159 184 186 207 212 248 276 279 318 368 372 414 424 477 496 552 558 636 713 744 828 848 954 1104 1116 1219 1272 1426 1488 1643 1656 1908 2139 2232 2438 2544 2852 3286 3312 3657 3816 4278 4464 4876 4929 5704 6417 6572 7314 7632 8556 9752 9858 10971 11408 12834 13144 14628 14787 17112 19504 19716 21942 25668 26288 29256 29574 34224 37789 39432 43884 51336 58512 59148 75578 78864 87768 102672 113367 118296 151156 175536 226734 236592 302312 340101 453468 604624 680202 906936 1360404 1813872 2720808 5441616