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53786538 = 23313174507
BaseRepresentation
bin1100110100101…
…1011110101010
310202012122021000
43031023132222
5102232132123
65200455430
71222115031
oct315133652
9122178230
1053786538
11283a7693
121601a576
13b1b2a70
147201718
154ac6b43
hex334b7aa

53786538 has 64 divisors (see below), whose sum is σ = 136321920. Its totient is φ = 15572736.

The previous prime is 53786533. The next prime is 53786609. The reversal of 53786538 is 83568735.

53786538 is a `hidden beast` number, since 5 + 37 + 86 + 538 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 53786493 and 53786502.

It is not an unprimeable number, because it can be changed into a prime (53786533) 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, 9681 + ... + 14187.

It is an arithmetic number, because the mean of its divisors is an integer number (2130030).

Almost surely, 253786538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53786538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68160960).

53786538 is an abundant number, since it is smaller than the sum of its proper divisors (82535382).

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

53786538 is a wasteful number, since it uses less digits than its factorization.

53786538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4548 (or 4542 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 53786538 is about 7333.9305968900. The cubic root of 53786538 is about 377.4776104728.

The spelling of 53786538 in words is "fifty-three million, seven hundred eighty-six thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 221 234 306 351 442 459 663 702 918 1326 1989 3978 4507 5967 9014 11934 13521 27042 40563 58591 76619 81126 117182 121689 153238 175773 229857 243378 351546 459714 527319 689571 996047 1054638 1379142 1581957 1992094 2068713 2988141 3163914 4137426 5976282 8964423 17928846 26893269 53786538