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152518842 = 23372353331
BaseRepresentation
bin10010001011101…
…00000010111010
3101121222202112000
421011310002322
5303021100332
623045001430
73531250230
oct1105640272
9347882460
10152518842
1179102733
12430b3276
13257a1548
1416382950
15d5cab7c
hex91740ba

152518842 has 128 divisors (see below), whose sum is σ = 413061120. Its totient is φ = 40772160.

The previous prime is 152518841. The next prime is 152518879. The reversal of 152518842 is 248815251.

It is a junction number, because it is equal to n+sod(n) for n = 152518797 and 152518806.

It is not an unprimeable number, because it can be changed into a prime (152518841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 460617 + ... + 460947.

It is an arithmetic number, because the mean of its divisors is an integer number (3227040).

Almost surely, 2152518842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152518842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206530560).

152518842 is an abundant number, since it is smaller than the sum of its proper divisors (260542278).

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

152518842 is a wasteful number, since it uses less digits than its factorization.

152518842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 419 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 152518842 is about 12349.8519019460. The cubic root of 152518842 is about 534.2868677062.

The spelling of 152518842 in words is "one hundred fifty-two million, five hundred eighteen thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 53 54 63 69 106 126 138 159 161 189 207 318 322 331 371 378 414 477 483 621 662 742 954 966 993 1113 1219 1242 1431 1449 1986 2226 2317 2438 2862 2898 2979 3339 3657 4347 4634 5958 6678 6951 7314 7613 8533 8694 8937 10017 10971 13902 15226 17066 17543 17874 20034 20853 21942 22839 25599 32913 35086 41706 45678 51198 52629 53291 62559 65826 68517 76797 105258 106582 122801 125118 137034 153594 157887 159873 205551 230391 245602 315774 319746 368403 403489 411102 460782 473661 479619 736806 806978 947322 959238 1105209 1210467 1438857 2210418 2420934 2824423 2877714 3315627 3631401 5648846 6631254 7262802 8473269 10894203 16946538 21788406 25419807 50839614 76259421 152518842