Search a number
-
+
1483968 = 26359131
BaseRepresentation
bin101101010010011000000
32210101121210
411222103000
5334441333
651450120
715420303
oct5522300
92711553
101483968
11923a22
125b6940
133cc5b5
142a8b3a
151e4a63
hex16a4c0

1483968 has 56 divisors (see below), whose sum is σ = 4023360. Its totient is φ = 482560.

The previous prime is 1483967. The next prime is 1483969. The reversal of 1483968 is 8693841.

It is an interprime number because it is at equal distance from previous prime (1483967) and next prime (1483969).

It is a super-2 number, since 2×14839682 = 4404322050048, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1483967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11263 + ... + 11393.

21483968 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 1483968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011680).

1483968 is an abundant number, since it is smaller than the sum of its proper divisors (2539392).

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

1483968 is a wasteful number, since it uses less digits than its factorization.

1483968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 195 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 1483968 is about 1218.1822523744. The cubic root of 1483968 is about 114.0621390994.

The spelling of 1483968 in words is "one million, four hundred eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 131 177 192 236 262 354 393 472 524 708 786 944 1048 1416 1572 1888 2096 2832 3144 3776 4192 5664 6288 7729 8384 11328 12576 15458 23187 25152 30916 46374 61832 92748 123664 185496 247328 370992 494656 741984 1483968