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163143792 = 24327295581
BaseRepresentation
bin10011011100101…
…10000001110000
3102100222120012200
421232112001300
5313231100132
624104423200
74020461610
oct1156260160
9370876180
10163143792
11840aa389
1246777b00
1327a516b6
141794aa40
15e4c8d7c
hex9b96070

163143792 has 120 divisors (see below), whose sum is σ = 539891040. Its totient is φ = 44997120.

The previous prime is 163143779. The next prime is 163143809. The reversal of 163143792 is 297341361.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26442 + ... + 32022.

It is an arithmetic number, because the mean of its divisors is an integer number (4499092).

Almost surely, 2163143792 is an apocalyptic number.

163143792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163143792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269945520).

163143792 is an abundant number, since it is smaller than the sum of its proper divisors (376747248).

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

163143792 is a wasteful number, since it uses less digits than its factorization.

163143792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5631 (or 5622 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 163143792 is about 12772.7754227497. The cubic root of 163143792 is about 546.4161380961.

The spelling of 163143792 in words is "one hundred sixty-three million, one hundred forty-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 36 42 48 56 58 63 72 84 87 112 116 126 144 168 174 203 232 252 261 336 348 406 464 504 522 609 696 812 1008 1044 1218 1392 1624 1827 2088 2436 3248 3654 4176 4872 5581 7308 9744 11162 14616 16743 22324 29232 33486 39067 44648 50229 66972 78134 89296 100458 117201 133944 156268 161849 200916 234402 267888 312536 323698 351603 401832 468804 485547 625072 647396 703206 803664 937608 971094 1132943 1294792 1406412 1456641 1875216 1942188 2265886 2589584 2812824 2913282 3398829 3884376 4531772 5625648 5826564 6797658 7768752 9063544 10196487 11653128 13595316 18127088 20392974 23306256 27190632 40785948 54381264 81571896 163143792