Search a number
-
+
146459648 = 210157911
BaseRepresentation
bin10001011101011…
…00110000000000
3101012120220212102
420232230300000
5244443202043
622311045532
73425613026
oct1056546000
9335526772
10146459648
1175744335
12410708a8
132445c61a
1415646716
15ccd06b8
hex8bacc00

146459648 has 44 divisors (see below), whose sum is σ = 294964512. Its totient is φ = 72683520.

The previous prime is 146459647. The next prime is 146459671. The reversal of 146459648 is 846954641.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (146459647) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 160313 + ... + 161223.

Almost surely, 2146459648 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 146459648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147482256).

146459648 is an abundant number, since it is smaller than the sum of its proper divisors (148504864).

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

146459648 is an equidigital number, since it uses as much as digits as its factorization.

146459648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1070 counting only the distinct ones).

The product of its digits is 829440, while the sum is 47.

The square root of 146459648 is about 12102.0513963543. The cubic root of 146459648 is about 527.1157529043.

The spelling of 146459648 in words is "one hundred forty-six million, four hundred fifty-nine thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 157 256 314 512 628 911 1024 1256 1822 2512 3644 5024 7288 10048 14576 20096 29152 40192 58304 80384 116608 143027 160768 233216 286054 466432 572108 932864 1144216 2288432 4576864 9153728 18307456 36614912 73229824 146459648