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5456616 = 2331121879
BaseRepresentation
bin10100110100001011101000
3101021020001220
4110310023220
52344102431
6312542040
764244334
oct24641350
911236056
105456616
113097700
1219b1920
131190889
14a207c4
1572bb96
hex5342e8

5456616 has 48 divisors (see below), whose sum is σ = 15002400. Its totient is φ = 1652640.

The previous prime is 5456603. The next prime is 5456663. The reversal of 5456616 is 6166545.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 1965 + ... + 3843.

It is an arithmetic number, because the mean of its divisors is an integer number (312550).

Almost surely, 25456616 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 5456616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7501200).

5456616 is an abundant number, since it is smaller than the sum of its proper divisors (9545784).

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

5456616 is a wasteful number, since it uses less digits than its factorization.

5456616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1895 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 5456616 is about 2335.9400677243. The cubic root of 5456616 is about 176.0520679280.

The spelling of 5456616 in words is "five million, four hundred fifty-six thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 1879 2904 3758 5637 7516 11274 15032 20669 22548 41338 45096 62007 82676 124014 165352 227359 248028 454718 496056 682077 909436 1364154 1818872 2728308 5456616