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5466912 = 2531131167
BaseRepresentation
bin10100110110101100100000
3101021202012020
4110312230200
52344420122
6313101440
764316343
oct24665440
911252166
105466912
1130a4410
1219b7880
131195479
14a2445a
1572ec5c
hex536b20

5466912 has 96 divisors (see below), whose sum is σ = 16257024. Its totient is φ = 1593600.

The previous prime is 5466907. The next prime is 5466941. The reversal of 5466912 is 2196645.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 32653 + ... + 32819.

It is an arithmetic number, because the mean of its divisors is an integer number (169344).

Almost surely, 25466912 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 5466912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8128512).

5466912 is an abundant number, since it is smaller than the sum of its proper divisors (10790112).

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

5466912 is a wasteful number, since it uses less digits than its factorization.

5466912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 214 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 5466912 is about 2338.1428527787. The cubic root of 5466912 is about 176.1627282842.

It can be divided in two parts, 54 and 66912, that added together give a palindrome (66966).

The spelling of 5466912 in words is "five million, four hundred sixty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 66 88 93 96 124 132 167 176 186 248 264 334 341 352 372 496 501 528 668 682 744 992 1002 1023 1056 1336 1364 1488 1837 2004 2046 2672 2728 2976 3674 4008 4092 5177 5344 5456 5511 7348 8016 8184 10354 10912 11022 14696 15531 16032 16368 20708 22044 29392 31062 32736 41416 44088 56947 58784 62124 82832 88176 113894 124248 165664 170841 176352 227788 248496 341682 455576 496992 683364 911152 1366728 1822304 2733456 5466912