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145544256 = 263311131931
BaseRepresentation
bin10001010110011…
…01010001000000
3101010212102012000
420223031101000
5244224404011
622235304000
73415051164
oct1053152100
9333772160
10145544256
1175179610
12408ab000
13241cba80
1415488ca4
15cb9e356
hex8acd440

145544256 has 448 divisors, whose sum is σ = 546201600. Its totient is φ = 37324800.

The previous prime is 145544251. The next prime is 145544257. The reversal of 145544256 is 652445541.

145544256 is a `hidden beast` number, since 14 + 554 + 42 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 145544256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145544251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4694961 + ... + 4694991.

It is an arithmetic number, because the mean of its divisors is an integer number (1219200).

Almost surely, 2145544256 is an apocalyptic number.

145544256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145544256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273100800).

145544256 is an abundant number, since it is smaller than the sum of its proper divisors (400657344).

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

145544256 is a wasteful number, since it uses less digits than its factorization.

145544256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 79 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 145544256 is about 12064.1724125611. The cubic root of 145544256 is about 526.0152761494.

Adding to 145544256 its reverse (652445541), we get a palindrome (797989797).

The spelling of 145544256 in words is "one hundred forty-five million, five hundred forty-four thousand, two hundred fifty-six".