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5476416 = 263112593
BaseRepresentation
bin10100111001000001000000
3101022020020020
4110321001000
52400221131
6313213440
764356141
oct24710100
911266206
105476416
113100570
121a01280
1311998aa
14a27ac8
15732996
hex539040

5476416 has 56 divisors (see below), whose sum is σ = 15813024. Its totient is φ = 1658880.

The previous prime is 5476391. The next prime is 5476421. The reversal of 5476416 is 6146745.

It is a super-2 number, since 2×54764162 = 59982264410112, which contains 22 as substring.

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 816 + ... + 3408.

Almost surely, 25476416 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 5476416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7906512).

5476416 is an abundant number, since it is smaller than the sum of its proper divisors (10336608).

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

5476416 is a wasteful number, since it uses less digits than its factorization.

5476416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2609 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 5476416 is about 2340.1743524789. The cubic root of 5476416 is about 176.2647530531.

The spelling of 5476416 in words is "five million, four hundred seventy-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 2593 5186 7779 10372 15558 20744 28523 31116 41488 57046 62232 82976 85569 114092 124464 165952 171138 228184 248928 342276 456368 497856 684552 912736 1369104 1825472 2738208 5476416