Search a number
-
+
52610208 = 253779991
BaseRepresentation
bin1100100010110…
…0010010100000
310122222212122020
43020230102200
5101432011313
65115341440
71206115350
oct310542240
9118885566
1052610208
1127773912
1215751880
13ab90501
146db6b60
154943323
hex322c4a0

52610208 has 96 divisors (see below), whose sum is σ = 159989760. Its totient is φ = 14826240.

The previous prime is 52610203. The next prime is 52610273. The reversal of 52610208 is 80201625.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (52610203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52593 + ... + 53583.

It is an arithmetic number, because the mean of its divisors is an integer number (1666560).

Almost surely, 252610208 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 52610208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79994880).

52610208 is an abundant number, since it is smaller than the sum of its proper divisors (107379552).

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

52610208 is a wasteful number, since it uses less digits than its factorization.

52610208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 52610208 is about 7253.2894606516. The cubic root of 52610208 is about 374.7054469188.

The spelling of 52610208 in words is "fifty-two million, six hundred ten thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 79 84 96 112 158 168 224 237 316 336 474 553 632 672 948 991 1106 1264 1659 1896 1982 2212 2528 2973 3318 3792 3964 4424 5946 6636 6937 7584 7928 8848 11892 13272 13874 15856 17696 20811 23784 26544 27748 31712 41622 47568 53088 55496 78289 83244 95136 110992 156578 166488 221984 234867 313156 332976 469734 548023 626312 665952 939468 1096046 1252624 1644069 1878936 2192092 2505248 3288138 3757872 4384184 6576276 7515744 8768368 13152552 17536736 26305104 52610208