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145684458 = 232172916417
BaseRepresentation
bin10001010111011…
…11011111101010
3101011010112111200
420223233133222
5244243400313
622242305030
73416204013
oct1053573752
9334115450
10145684458
1175264987
1240958176
132424a82a
14154c400a
15cbcab73
hex8aef7ea

145684458 has 48 divisors (see below), whose sum is σ = 345763080. Its totient is φ = 44126208.

The previous prime is 145684447. The next prime is 145684477. The reversal of 145684458 is 854486541.

It is a happy number.

145684458 is a `hidden beast` number, since 145 + 68 + 445 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 127306089 + 18378369 = 11283^2 + 4287^2 .

It is a super-2 number, since 2×1456844582 = 42447922605507528, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 666 + ... + 17082.

Almost surely, 2145684458 is an apocalyptic number.

145684458 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145684458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172881540).

145684458 is an abundant number, since it is smaller than the sum of its proper divisors (200078622).

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

145684458 is a wasteful number, since it uses less digits than its factorization.

145684458 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16471 (or 16468 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 145684458 is about 12069.9816901270. The cubic root of 145684458 is about 526.1841245074.

The spelling of 145684458 in words is "one hundred forty-five million, six hundred eighty-four thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 9 17 18 29 34 51 58 87 102 153 174 261 306 493 522 986 1479 2958 4437 8874 16417 32834 49251 98502 147753 279089 295506 476093 558178 837267 952186 1428279 1674534 2511801 2856558 4284837 5023602 8093581 8569674 16187162 24280743 48561486 72842229 145684458