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5457816 = 2332731317
BaseRepresentation
bin10100110100011110011000
3101021021201100
4110310132120
52344122231
6312551400
764251000
oct24643630
911237640
105457816
1130985a1
1219b2560
1311912a0
14a21000
1572c1e6
hex534798

5457816 has 192 divisors, whose sum is σ = 19656000. Its totient is φ = 1354752.

The previous prime is 5457811. The next prime is 5457817. The reversal of 5457816 is 6187545.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (33600) is a multiple of the sum of its prime divisors (42).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5457811) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 321040 + ... + 321056.

It is an arithmetic number, because the mean of its divisors is an integer number (102375).

Almost surely, 25457816 is an apocalyptic number.

5457816 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 5457816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9828000).

5457816 is an abundant number, since it is smaller than the sum of its proper divisors (14198184).

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

5457816 is a wasteful number, since it uses less digits than its factorization.

5457816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 42 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 5457816 is about 2336.1969095091. The cubic root of 5457816 is about 176.0649725681.

The spelling of 5457816 in words is "five million, four hundred fifty-seven thousand, eight hundred sixteen".