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546424056 = 233441131157
BaseRepresentation
bin100000100100011…
…100010011111000
31102002012012220000
4200210130103320
52104341032211
6130115433000
716353346023
oct4044342370
91362165800
10546424056
11260495532
12132bb5760
138928a959
14527dc1ba
1532e88656
hex2091c4f8

546424056 has 160 divisors (see below), whose sum is σ = 1589852880. Its totient is φ = 175219200.

The previous prime is 546424049. The next prime is 546424063. The reversal of 546424056 is 650424645.

546424056 is a `hidden beast` number, since 5 + 4 + 642 + 4 + 0 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (546424049) and next prime (546424063).

It is a super-3 number, since 3×5464240563 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 546424056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3480330 + ... + 3480486.

Almost surely, 2546424056 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 546424056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794926440).

546424056 is an abundant number, since it is smaller than the sum of its proper divisors (1043428824).

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

546424056 is a wasteful number, since it uses less digits than its factorization.

546424056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 546424056 is about 23375.7150906662. The cubic root of 546424056 is about 817.5417435127.

The spelling of 546424056 in words is "five hundred forty-six million, four hundred twenty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 123 131 157 162 164 216 246 262 314 324 328 369 393 471 492 524 628 648 738 786 942 984 1048 1107 1179 1256 1413 1476 1572 1884 2214 2358 2826 2952 3144 3321 3537 3768 4239 4428 4716 5371 5652 6437 6642 7074 8478 8856 9432 10611 10742 11304 12717 12874 13284 14148 16113 16956 19311 20567 21222 21484 25434 25748 26568 28296 32226 33912 38622 41134 42444 42968 48339 50868 51496 57933 61701 64452 77244 82268 84888 96678 101736 115866 123402 128904 145017 154488 164536 173799 185103 193356 231732 246804 290034 347598 370206 386712 435051 463464 493608 521397 555309 580068 695196 740412 843247 870102 1042794 1110618 1160136 1390392 1480824 1665927 1686494 1740204 2085588 2221236 2529741 3331854 3372988 3480408 4171176 4442472 5059482 6663708 6745976 7589223 10118964 13327416 15178446 20237928 22767669 30356892 45535338 60713784 68303007 91070676 136606014 182141352 273212028 546424056