Search a number
-
+
53738916 = 223711193061
BaseRepresentation
bin1100110011111…
…1110110100100
310202010012221020
43030333312210
5102224121131
65155451140
71221526140
oct314776644
9122105836
1053738916
1128374930
1215bb6ab0
13b19719a
1471cc220
154ab7996
hex333fda4

53738916 has 96 divisors (see below), whose sum is σ = 164613120. Its totient is φ = 13219200.

The previous prime is 53738857. The next prime is 53738917. The reversal of 53738916 is 61983735.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (53738917) 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, 16026 + ... + 19086.

It is an arithmetic number, because the mean of its divisors is an integer number (1714720).

Almost surely, 253738916 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 53738916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82306560).

53738916 is an abundant number, since it is smaller than the sum of its proper divisors (110874204).

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

53738916 is a wasteful number, since it uses less digits than its factorization.

53738916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3105 (or 3103 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 53738916 is about 7330.6831878073. The cubic root of 53738916 is about 377.3661727576.

The spelling of 53738916 in words is "fifty-three million, seven hundred thirty-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 57 66 76 77 84 114 132 133 154 209 228 231 266 308 399 418 462 532 627 798 836 924 1254 1463 1596 2508 2926 3061 4389 5852 6122 8778 9183 12244 17556 18366 21427 33671 36732 42854 58159 64281 67342 85708 101013 116318 128562 134684 174477 202026 232636 235697 257124 348954 404052 407113 471394 639749 697908 707091 814226 942788 1221339 1279498 1414182 1628452 1919247 2442678 2558996 2828364 3838494 4478243 4885356 7676988 8956486 13434729 17912972 26869458 53738916