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53871642 = 236113359
BaseRepresentation
bin1100110110000…
…0010000011010
310202100222000000
43031200100122
5102242343032
65202353430
71222621116
oct315402032
9122328000
1053871642
1128455620
121605b876
13b212716
147224746
154ae1e7c
hex336041a

53871642 has 56 divisors (see below), whose sum is σ = 132209280. Its totient is φ = 16319880.

The previous prime is 53871641. The next prime is 53871659. The reversal of 53871642 is 24617835.

53871642 is a `hidden beast` number, since 5 + 3 + 8 + 7 + 1 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 53871597 and 53871606.

It is not an unprimeable number, because it can be changed into a prime (53871641) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14359 + ... + 17717.

It is an arithmetic number, because the mean of its divisors is an integer number (2360880).

Almost surely, 253871642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53871642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66104640).

53871642 is an abundant number, since it is smaller than the sum of its proper divisors (78337638).

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

53871642 is a wasteful number, since it uses less digits than its factorization.

53871642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3390 (or 3375 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 53871642 is about 7339.7303765193. The cubic root of 53871642 is about 377.6765941305.

The spelling of 53871642 in words is "fifty-three million, eight hundred seventy-one thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 729 891 1458 1782 2673 3359 5346 6718 8019 10077 16038 20154 30231 36949 60462 73898 90693 110847 181386 221694 272079 332541 544158 665082 816237 997623 1632474 1995246 2448711 2992869 4897422 5985738 8978607 17957214 26935821 53871642