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5457648 = 243737439
BaseRepresentation
bin10100110100011011110000
3101021021111010
4110310123300
52344121043
6312550520
764250340
oct24643360
911237433
105457648
113098459
1219b2440
1311911a1
14a20d20
1572c133
hex5346f0

5457648 has 80 divisors (see below), whose sum is σ = 16586240. Its totient is φ = 1513728.

The previous prime is 5457637. The next prime is 5457653. The reversal of 5457648 is 8467545.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12213 + ... + 12651.

It is an arithmetic number, because the mean of its divisors is an integer number (207328).

Almost surely, 25457648 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 5457648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8293120).

5457648 is an abundant number, since it is smaller than the sum of its proper divisors (11128592).

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

5457648 is a wasteful number, since it uses less digits than its factorization.

5457648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 488 counting only the distinct ones).

The product of its digits is 134400, while the sum is 39.

The square root of 5457648 is about 2336.1609533592. The cubic root of 5457648 is about 176.0631660324.

It can be divided in two parts, 5457 and 648, that added together give a triangular number (6105 = T110).

The spelling of 5457648 in words is "five million, four hundred fifty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 259 296 336 439 444 518 592 777 878 888 1036 1317 1554 1756 1776 2072 2634 3073 3108 3512 4144 5268 6146 6216 7024 9219 10536 12292 12432 16243 18438 21072 24584 32486 36876 48729 49168 64972 73752 97458 113701 129944 147504 194916 227402 259888 341103 389832 454804 682206 779664 909608 1364412 1819216 2728824 5457648