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145242516 = 223231134657
BaseRepresentation
bin10001010100000…
…11100110010100
3101010022002021110
420222003212110
5244140230031
622225015020
73412353366
oct1052034624
9333262243
10145242516
1174a92941
1240784470
1324124623
141540ad36
15cb3ec46
hex8a83994

145242516 has 48 divisors (see below), whose sum is σ = 356840064. Its totient is φ = 45889536.

The previous prime is 145242511. The next prime is 145242551. The reversal of 145242516 is 615242541.

Its product of digits (9600) is a multiple of the sum of its prime factors (4800).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145242511) 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 15 ways as a sum of consecutive naturals, for example, 28860 + ... + 33516.

It is an arithmetic number, because the mean of its divisors is an integer number (7434168).

Almost surely, 2145242516 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 145242516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178420032).

145242516 is an abundant number, since it is smaller than the sum of its proper divisors (211597548).

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

145242516 is a wasteful number, since it uses less digits than its factorization.

145242516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4800 (or 4798 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 145242516 is about 12051.6603005561. The cubic root of 145242516 is about 525.6515158623.

The spelling of 145242516 in words is "one hundred forty-five million, two hundred forty-two thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 23 46 69 92 113 138 226 276 339 452 678 1356 2599 4657 5198 7797 9314 10396 13971 15594 18628 27942 31188 55884 107111 214222 321333 428444 526241 642666 1052482 1285332 1578723 2104964 3157446 6314892 12103543 24207086 36310629 48414172 72621258 145242516