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5415456 = 253192969
BaseRepresentation
bin10100101010001000100000
3101012010121110
4110222020200
52341243311
6312023320
764013334
oct24521040
911163543
105415456
113069792
121991b40
131177c17
14a0d7c4
1571e8a6
hex52a220

5415456 has 48 divisors (see below), whose sum is σ = 14968800. Its totient is φ = 1709568.

The previous prime is 5415451. The next prime is 5415457. The reversal of 5415456 is 6545145.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (5415451) 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 7 ways as a sum of consecutive naturals, for example, 340 + ... + 3308.

It is an arithmetic number, because the mean of its divisors is an integer number (311850).

Almost surely, 25415456 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 5415456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7484400).

5415456 is an abundant number, since it is smaller than the sum of its proper divisors (9553344).

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

5415456 is a wasteful number, since it uses less digits than its factorization.

5415456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3001 (or 2993 counting only the distinct ones).

The product of its digits is 12000, while the sum is 30.

The square root of 5415456 is about 2327.1132331711. The cubic root of 5415456 is about 175.6082886207.

The spelling of 5415456 in words is "five million, four hundred fifteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 2969 5938 8907 11876 17814 23752 35628 47504 56411 71256 95008 112822 142512 169233 225644 285024 338466 451288 676932 902576 1353864 1805152 2707728 5415456