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5405456 = 247172167
BaseRepresentation
bin10100100111101100010000
3101011121220002
4110213230100
52340433311
6311505132
763642230
oct24475420
911147802
105405456
113062221
1219881a8
1311734c4
14a09cc0
1571b93b
hex527b10

5405456 has 60 divisors (see below), whose sum is σ = 12790848. Its totient is φ = 2167296.

The previous prime is 5405447. The next prime is 5405459. The reversal of 5405456 is 6545045.

5405456 = T253 + T254 + ... + T364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5405459) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32285 + ... + 32451.

Almost surely, 25405456 is an apocalyptic number.

5405456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5405456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6395424).

5405456 is an abundant number, since it is smaller than the sum of its proper divisors (7385392).

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

5405456 is a wasteful number, since it uses less digits than its factorization.

5405456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 5405456 is about 2324.9636556299. The cubic root of 5405456 is about 175.5001312218.

The spelling of 5405456 in words is "five million, four hundred five thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 167 238 272 289 334 476 578 668 952 1156 1169 1336 1904 2023 2312 2338 2672 2839 4046 4624 4676 5678 8092 9352 11356 16184 18704 19873 22712 32368 39746 45424 48263 79492 96526 158984 193052 317968 337841 386104 675682 772208 1351364 2702728 5405456