Search a number
-
+
1057448 = 23723821
BaseRepresentation
bin100000010001010101000
31222201112202
410002022220
5232314243
634355332
711662640
oct4021250
91881482
101057448
11662527
1242bb48
132b0412
141d7520
1515d4b8
hex1022a8

1057448 has 32 divisors (see below), whose sum is σ = 2367360. Its totient is φ = 432960.

The previous prime is 1057421. The next prime is 1057477. The reversal of 1057448 is 8447501.

It is a super-2 number, since 2×10574482 = 2236392545408, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1057448.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 878 + ... + 1698.

It is an arithmetic number, because the mean of its divisors is an integer number (73980).

21057448 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 1057448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183680).

1057448 is an abundant number, since it is smaller than the sum of its proper divisors (1309912).

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

1057448 is a wasteful number, since it uses less digits than its factorization.

1057448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 1057448 is about 1028.3229064841. The cubic root of 1057448 is about 101.8793909558.

The spelling of 1057448 in words is "one million, fifty-seven thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 821 1288 1642 3284 5747 6568 11494 18883 22988 37766 45976 75532 132181 151064 264362 528724 1057448