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5456896 = 210732
BaseRepresentation
bin10100110100010000000000
3101021020110021
4110310100000
52344110041
6312543224
764245214
oct24642000
911236407
105456896
113097935
1219b1b14
131190a43
14a20944
1572bcd1
hex534400

5456896 has 33 divisors (see below), whose sum is σ = 11059941. Its totient is φ = 2691072.

The previous prime is 5456879. The next prime is 5456897. The reversal of 5456896 is 6986545.

The square root of 5456896 is 2336.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3097600 + 2359296 = 1760^2 + 1536^2 .

It is a Duffinian number.

Its product of digits (259200) is a multiple of the sum of its prime divisors (75).

It is not an unprimeable number, because it can be changed into a prime (5456897) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 74716 + ... + 74788.

Almost surely, 25456896 is an apocalyptic number.

5456896 is the 2336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5456896

5456896 is an abundant number, since it is smaller than the sum of its proper divisors (5603045).

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

5456896 is an frugal number, since it uses more digits than its factorization.

5456896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 75 counting only the distinct ones).

The product of its digits is 259200, while the sum is 43.

The cubic root of 5456896 is about 176.0550791799.

The spelling of 5456896 in words is "five million, four hundred fifty-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 512 584 1024 1168 2336 4672 5329 9344 10658 18688 21316 37376 42632 74752 85264 170528 341056 682112 1364224 2728448 5456896