Search a number
-
+
125406648 = 23329971747
BaseRepresentation
bin1110111100110…
…00110110111000
322201222022120200
413132120312320
5224101003043
620235522200
73051640023
oct736306670
9281868520
10125406648
1164874964
1235bb9360
131cc9ab23
14129261ba
15b0227d3
hex7798db8

125406648 has 48 divisors (see below), whose sum is σ = 340178280. Its totient is φ = 41736384.

The previous prime is 125406641. The next prime is 125406679. The reversal of 125406648 is 846604521.

125406648 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 0 + 6 + 648 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125406641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70911 + ... + 72657.

Almost surely, 2125406648 is an apocalyptic number.

125406648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

125406648 is an abundant number, since it is smaller than the sum of its proper divisors (214771632).

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

125406648 is a wasteful number, since it uses less digits than its factorization.

125406648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 125406648 is about 11198.5109724463. The cubic root of 125406648 is about 500.5416104378.

The spelling of 125406648 in words is "one hundred twenty-five million, four hundred six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 997 1747 1994 2991 3494 3988 5241 5982 6988 7976 8973 10482 11964 13976 15723 17946 20964 23928 31446 35892 41928 62892 71784 125784 1741759 3483518 5225277 6967036 10450554 13934072 15675831 20901108 31351662 41802216 62703324 125406648