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142524624 = 243111914207
BaseRepresentation
bin10000111111011…
…00000011010000
3100221012000000210
420133230003100
5242441241444
622050444120
73350303454
oct1037540320
9327160023
10142524624
11734a6950
123b893640
13236b24c8
1414d00664
15c7a47b9
hex87ec0d0

142524624 has 80 divisors (see below), whose sum is σ = 422830080. Its totient is φ = 40913280.

The previous prime is 142524563. The next prime is 142524631. The reversal of 142524624 is 426425241.

It is a junction number, because it is equal to n+sod(n) for n = 142524591 and 142524600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2929 + ... + 17135.

It is an arithmetic number, because the mean of its divisors is an integer number (5285376).

Almost surely, 2142524624 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 142524624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211415040).

142524624 is an abundant number, since it is smaller than the sum of its proper divisors (280305456).

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

142524624 is a wasteful number, since it uses less digits than its factorization.

142524624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14248 (or 14242 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 142524624 is about 11938.3677276251. The cubic root of 142524624 is about 522.3520474235.

Adding to 142524624 its reverse (426425241), we get a palindrome (568949865).

The spelling of 142524624 in words is "one hundred forty-two million, five hundred twenty-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 836 912 1254 1672 2508 3344 5016 10032 14207 28414 42621 56828 85242 113656 156277 170484 227312 269933 312554 340968 468831 539866 625108 681936 809799 937662 1079732 1250216 1619598 1875324 2159464 2500432 2969263 3239196 3750648 4318928 5938526 6478392 7501296 8907789 11877052 12956784 17815578 23754104 35631156 47508208 71262312 142524624