Search a number
-
+
1428648 = 2331319241
BaseRepresentation
bin101011100110010101000
32200120201220
411130302220
5331204043
650342040
715100104
oct5346250
92616656
101428648
11896401
1258a920
133b0370
14292904
151d3483
hex15cca8

1428648 has 64 divisors (see below), whose sum is σ = 4065600. Its totient is φ = 414720.

The previous prime is 1428631. The next prime is 1428649. The reversal of 1428648 is 8468241.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1428649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5808 + ... + 6048.

It is an arithmetic number, because the mean of its divisors is an integer number (63525).

21428648 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 1428648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032800).

1428648 is an abundant number, since it is smaller than the sum of its proper divisors (2636952).

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

1428648 is a wasteful number, since it uses less digits than its factorization.

1428648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 278 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 1428648 is about 1195.2606410319. The cubic root of 1428648 is about 112.6268002380.

The spelling of 1428648 in words is "one million, four hundred twenty-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 241 247 312 456 482 494 723 741 964 988 1446 1482 1928 1976 2892 2964 3133 4579 5784 5928 6266 9158 9399 12532 13737 18316 18798 25064 27474 36632 37596 54948 59527 75192 109896 119054 178581 238108 357162 476216 714324 1428648