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145339656 = 233711314359
BaseRepresentation
bin10001010100110…
…11010100001000
3101010111000112020
420222123110020
5244201332111
622231044440
73413236530
oct1052332410
9333430466
10145339656
1175049920
1240810720
13241598c7
14154344c0
15cb5d906
hex8a9b508

145339656 has 256 divisors, whose sum is σ = 486604800. Its totient is φ = 35078400.

The previous prime is 145339639. The next prime is 145339657. The reversal of 145339656 is 656933541.

It is a super-2 number, since 2×1453396562 = 42247231212396672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (145339657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2463355 + ... + 2463413.

It is an arithmetic number, because the mean of its divisors is an integer number (1900800).

Almost surely, 2145339656 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 145339656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243302400).

145339656 is an abundant number, since it is smaller than the sum of its proper divisors (341265144).

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

145339656 is a wasteful number, since it uses less digits than its factorization.

145339656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 156 counting only the distinct ones).

The product of its digits is 291600, while the sum is 42.

The square root of 145339656 is about 12055.6897770306. The cubic root of 145339656 is about 525.7686771690.

The spelling of 145339656 in words is "one hundred forty-five million, three hundred thirty-nine thousand, six hundred fifty-six".