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53116416 = 293211527
BaseRepresentation
bin1100101010011…
…1111000000000
310200221121000200
43022213320000
5102044211131
65134245200
71213324233
oct312477000
9120847020
1053116416
1127a8a171
1215956800
13b009a42
1470a941a
1549e32e6
hex32a7e00

53116416 has 60 divisors (see below), whose sum is σ = 153310872. Its totient is φ = 17703936.

The previous prime is 53116409. The next prime is 53116417. The reversal of 53116416 is 61461135.

53116416 is a `hidden beast` number, since 5 + 3 + 11 + 641 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 53116416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53116417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1156 + ... + 10371.

Almost surely, 253116416 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 53116416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76655436).

53116416 is an abundant number, since it is smaller than the sum of its proper divisors (100194456).

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

53116416 is a wasteful number, since it uses less digits than its factorization.

53116416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11551 (or 11532 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 53116416 is about 7288.1009872257. The cubic root of 53116416 is about 375.9034005655.

The spelling of 53116416 in words is "fifty-three million, one hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 11527 23054 34581 46108 69162 92216 103743 138324 184432 207486 276648 368864 414972 553296 737728 829944 1106592 1475456 1659888 2213184 2950912 3319776 4426368 5901824 6639552 8852736 13279104 17705472 26558208 53116416