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145552616 = 231119263331
BaseRepresentation
bin10001010110011…
…11010011101000
3101010212211122122
420223033103220
5244230140431
622235410412
73415114436
oct1053172350
9333784578
10145552616
1175184920
12408b3a08
1324202811
141548bd56
15cba1a7b
hex8acf4e8

145552616 has 64 divisors (see below), whose sum is σ = 315532800. Its totient is φ = 62251200.

The previous prime is 145552613. The next prime is 145552619. The reversal of 145552616 is 616255541.

145552616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (145552613) and next prime (145552619).

It is not an unprimeable number, because it can be changed into a prime (145552613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439571 + ... + 439901.

It is an arithmetic number, because the mean of its divisors is an integer number (4930200).

Almost surely, 2145552616 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 145552616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157766400).

145552616 is an abundant number, since it is smaller than the sum of its proper divisors (169980184).

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

145552616 is a wasteful number, since it uses less digits than its factorization.

145552616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 626 counting only the distinct ones).

The product of its digits is 36000, while the sum is 35.

The square root of 145552616 is about 12064.5188880452. The cubic root of 145552616 is about 526.0253473210.

It can be divided in two parts, 14555 and 2616, that added together give a palindrome (17171).

The spelling of 145552616 in words is "one hundred forty-five million, five hundred fifty-two thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 263 331 418 526 662 836 1052 1324 1672 2104 2648 2893 3641 4997 5786 6289 7282 9994 11572 12578 14564 19988 23144 25156 29128 39976 50312 54967 69179 87053 109934 138358 174106 219868 276716 348212 439736 553432 696424 957583 1654007 1915166 3308014 3830332 6616028 7660664 13232056 18194077 36388154 72776308 145552616