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238613628 = 2231119891069
BaseRepresentation
bin11100011100011…
…11010001111100
3121121222211100210
432032033101330
5442041114003
635402152420
75625116361
oct1616172174
9547884323
10238613628
11112766a50
1267ab2710
133a586ac6
1423994468
1515e35503
hexe38f47c

238613628 has 96 divisors (see below), whose sum is σ = 647136000. Its totient is φ = 67668480.

The previous prime is 238613593. The next prime is 238613657. The reversal of 238613628 is 826316832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222678 + ... + 223746.

It is an arithmetic number, because the mean of its divisors is an integer number (6741000).

Almost surely, 2238613628 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 238613628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323568000).

238613628 is an abundant number, since it is smaller than the sum of its proper divisors (408522372).

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

238613628 is a wasteful number, since it uses less digits than its factorization.

238613628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1193 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 238613628 is about 15447.1236157415. The cubic root of 238613628 is about 620.2475840884.

The spelling of 238613628 in words is "two hundred thirty-eight million, six hundred thirteen thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 89 114 132 178 209 228 267 356 418 534 627 836 979 1068 1069 1254 1691 1958 2138 2508 2937 3207 3382 3916 4276 5073 5874 6414 6764 10146 11748 11759 12828 18601 20292 20311 23518 35277 37202 40622 47036 55803 60933 70554 74404 81244 95141 111606 121866 141108 190282 223212 223421 243732 285423 380564 446842 570846 670263 893684 1046551 1141692 1340526 1807679 2093102 2681052 3139653 3615358 4186204 5423037 6279306 7230716 10846074 12558612 19884469 21692148 39768938 59653407 79537876 119306814 238613628