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145217576 = 2372616073
BaseRepresentation
bin10001010011111…
…01100000101000
3101010020211001202
420221331200220
5244133430301
622224303332
73412220600
oct1051754050
9333224052
10145217576
1174a76129
1240771b48
132411617a
1415401c00
15cb3766b
hex8a7d828

145217576 has 48 divisors (see below), whose sum is σ = 321982740. Its totient is φ = 61205760.

The previous prime is 145217573. The next prime is 145217603. The reversal of 145217576 is 675712541.

It can be written as a sum of positive squares in 2 ways, for example, as 144624676 + 592900 = 12026^2 + 770^2 .

It is not an unprimeable number, because it can be changed into a prime (145217573) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20876 + ... + 26948.

Almost surely, 2145217576 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 145217576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160991370).

145217576 is an abundant number, since it is smaller than the sum of its proper divisors (176765164).

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

145217576 is a wasteful number, since it uses less digits than its factorization.

145217576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6154 (or 6143 counting only the distinct ones).

The product of its digits is 58800, while the sum is 38.

The square root of 145217576 is about 12050.6255439292. The cubic root of 145217576 is about 525.6214271077.

The spelling of 145217576 in words is "one hundred forty-five million, two hundred seventeen thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 49 56 61 98 122 196 244 392 427 488 854 1708 2989 3416 5978 6073 11956 12146 23912 24292 42511 48584 85022 170044 297577 340088 370453 595154 740906 1190308 1481812 2380616 2593171 2963624 5186342 10372684 18152197 20745368 36304394 72608788 145217576