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52160976 = 2433747367
BaseRepresentation
bin1100011011111…
…0100111010000
310122011001102000
43012332213100
5101323122401
65101554000
71202234550
oct306764720
9118131360
1052160976
112749734a
1215575900
13aa63baa
146cdb160
1548a5186
hex31be9d0

52160976 has 160 divisors (see below), whose sum is σ = 175226880. Its totient is φ = 14546304.

The previous prime is 52160971. The next prime is 52160989. The reversal of 52160976 is 67906125.

52160976 is a `hidden beast` number, since 521 + 60 + 9 + 76 = 666.

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 52160976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52160971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141945 + ... + 142311.

It is an arithmetic number, because the mean of its divisors is an integer number (1095168).

Almost surely, 252160976 is an apocalyptic number.

52160976 is a gapful number since it is divisible by the number (56) 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 52160976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87613440).

52160976 is an abundant number, since it is smaller than the sum of its proper divisors (123065904).

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

52160976 is a wasteful number, since it uses less digits than its factorization.

52160976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 52160976 is about 7222.2556033417. The cubic root of 52160976 is about 373.6358757907.

It can be divided in two parts, 52 and 160976, that added together give a triangular number (161028 = T567).

The spelling of 52160976 in words is "fifty-two million, one hundred sixty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 47 48 54 56 63 72 84 94 108 112 126 141 144 168 188 189 216 252 282 329 336 367 376 378 423 432 504 564 658 734 752 756 846 987 1008 1101 1128 1269 1316 1468 1512 1692 1974 2202 2256 2538 2569 2632 2936 2961 3024 3303 3384 3948 4404 5076 5138 5264 5872 5922 6606 6768 7707 7896 8808 8883 9909 10152 10276 11844 13212 15414 15792 17249 17616 17766 19818 20304 20552 23121 23688 26424 30828 34498 35532 39636 41104 46242 47376 51747 52848 61656 68996 69363 71064 79272 92484 103494 120743 123312 137992 138726 142128 155241 158544 184968 206988 241486 275984 277452 310482 362229 369936 413976 465723 482972 554904 620964 724458 827952 931446 965944 1086687 1109808 1241928 1448916 1862892 1931888 2173374 2483856 2897832 3260061 3725784 4346748 5795664 6520122 7451568 8693496 13040244 17386992 26080488 52160976