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53521416 = 233213211271
BaseRepresentation
bin1100110000101…
…0110000001000
310201201011120200
43030022300020
5102200141131
65151052200
71216632054
oct314126010
9121634520
1053521416
1128236483
1215b11060
13b11c1a0
147172c64
154a732e6
hex330ac08

53521416 has 96 divisors (see below), whose sum is σ = 157422720. Its totient is φ = 16329600.

The previous prime is 53521393. The next prime is 53521439. The reversal of 53521416 is 61412535.

It is an interprime number because it is at equal distance from previous prime (53521393) and next prime (53521439).

It is a self number, because there is not a number n which added to its sum of digits gives 53521416.

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, 197361 + ... + 197631.

It is an arithmetic number, because the mean of its divisors is an integer number (1639820).

Almost surely, 253521416 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 53521416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78711360).

53521416 is an abundant number, since it is smaller than the sum of its proper divisors (103901304).

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

53521416 is a wasteful number, since it uses less digits than its factorization.

53521416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 500 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 53521416 is about 7315.8332403083. The cubic root of 53521416 is about 376.8563738392.

The spelling of 53521416 in words is "fifty-three million, five hundred twenty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 211 234 271 312 422 468 542 633 813 844 936 1084 1266 1626 1688 1899 2168 2439 2532 2743 3252 3523 3798 4878 5064 5486 6504 7046 7596 8229 9756 10569 10972 14092 15192 16458 19512 21138 21944 24687 28184 31707 32916 42276 49374 57181 63414 65832 84552 98748 114362 126828 171543 197496 228724 253656 343086 457448 514629 686172 743353 1029258 1372344 1486706 2058516 2230059 2973412 4117032 4460118 5946824 6690177 8920236 13380354 17840472 26760708 53521416