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382204152 = 2332112192309
BaseRepresentation
bin10110110001111…
…111100011111000
3222122011222112100
4112301333203320
51240321013102
6101531543400
712320452551
oct2661774370
9878158470
10382204152
11186820700
12a7bbab60
1361250505
1438a91328
152384aa1c
hex16c7f8f8

382204152 has 144 divisors (see below), whose sum is σ = 1198197000. Its totient is φ = 109676160.

The previous prime is 382204139. The next prime is 382204157. The reversal of 382204152 is 251402283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382204157) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 164374 + ... + 166682.

Almost surely, 2382204152 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 382204152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599098500).

382204152 is an abundant number, since it is smaller than the sum of its proper divisors (815992848).

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

382204152 is a wasteful number, since it uses less digits than its factorization.

382204152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 382204152 is about 19550.0422505937. The cubic root of 382204152 is about 725.7133854861.

The spelling of 382204152 in words is "three hundred eighty-two million, two hundred four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 121 132 152 171 198 209 228 242 264 342 363 396 418 456 484 627 684 726 792 836 968 1089 1254 1368 1452 1672 1881 2178 2299 2309 2508 2904 3762 4356 4598 4618 5016 6897 6927 7524 8712 9196 9236 13794 13854 15048 18392 18472 20691 20781 25399 27588 27708 41382 41562 43871 50798 55176 55416 76197 82764 83124 87742 101596 131613 152394 165528 166248 175484 203192 228591 263226 279389 304788 350968 394839 457182 482581 526452 558778 609576 789678 838167 914364 965162 1052904 1117556 1447743 1579356 1676334 1828728 1930324 2235112 2514501 2895486 3158712 3352668 3860648 4343229 5029002 5308391 5790972 6705336 8686458 10058004 10616782 11581944 15925173 17372916 20116008 21233564 31850346 34745832 42467128 47775519 63700692 95551038 127401384 191102076 382204152