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145668456 = 2334224797
BaseRepresentation
bin10001010111010…
…11100101101000
3101011002201120000
420223223211220
5244242342311
622242103000
73416106243
oct1053534550
9334081500
10145668456
117525395a
124094aa60
132424346b
14154bc25a
15cbc6056
hex8aeb968

145668456 has 40 divisors (see below), whose sum is σ = 408008370. Its totient is φ = 48555936.

The previous prime is 145668451. The next prime is 145668469. The reversal of 145668456 is 654866541.

145668456 is a `hidden beast` number, since 1 + 4 + 566 + 84 + 5 + 6 = 666.

145668456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 76212900 + 69455556 = 8730^2 + 8334^2 .

It is not an unprimeable number, because it can be changed into a prime (145668451) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 111751 + ... + 113046.

Almost surely, 2145668456 is an apocalyptic number.

It is an amenable number.

145668456 is an abundant number, since it is smaller than the sum of its proper divisors (262339914).

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

145668456 is a wasteful number, since it uses less digits than its factorization.

145668456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224815 (or 224802 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 145668456 is about 12069.3187877361. The cubic root of 145668456 is about 526.1648584242.

The spelling of 145668456 in words is "one hundred forty-five million, six hundred sixty-eight thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 224797 449594 674391 899188 1348782 1798376 2023173 2697564 4046346 5395128 6069519 8092692 12139038 16185384 18208557 24278076 36417114 48556152 72834228 145668456