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5474816 = 2917237
BaseRepresentation
bin10100111000101000000000
3101022011000222
4110320220000
52400143231
6313202212
764351364
oct24705000
911264028
105474816
1130aa346
121a00368
131198c49
14a272a4
1573227b
hex538a00

5474816 has 60 divisors (see below), whose sum is σ = 11934318. Its totient is φ = 2506752.

The previous prime is 5474813. The next prime is 5474839. The reversal of 5474816 is 6184745.

5474816 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 5382400 + 92416 = 2320^2 + 304^2 .

It is a super-2 number, since 2×54748162 = 59947220467712, which contains 22 as substring.

It is an Ulam number.

Its product of digits (26880) is a multiple of the sum of its prime divisors (56).

It is not an unprimeable number, because it can be changed into a prime (5474813) 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 5 ways as a sum of consecutive naturals, for example, 147950 + ... + 147986.

Almost surely, 25474816 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 5474816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5967159).

5474816 is an abundant number, since it is smaller than the sum of its proper divisors (6459502).

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

5474816 is an equidigital number, since it uses as much as digits as its factorization.

5474816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 56 counting only the distinct ones).

The product of its digits is 26880, while the sum is 35.

The square root of 5474816 is about 2339.8324726356. The cubic root of 5474816 is about 176.2475854338.

The spelling of 5474816 in words is "five million, four hundred seventy-four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 74 128 136 148 256 272 289 296 512 544 578 592 629 1088 1156 1184 1258 2176 2312 2368 2516 4352 4624 4736 5032 8704 9248 9472 10064 10693 18496 18944 20128 21386 36992 40256 42772 73984 80512 85544 147968 161024 171088 322048 342176 684352 1368704 2737408 5474816