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53012016 = 243341273
BaseRepresentation
bin1100101000111…
…0011000110000
310200202021211000
43022032120300
5102032341031
65132122000
71212410661
oct312163060
9120667730
1053012016
1127a18792
1215906300
13aca1375
14707d368
1549c23e6
hex328e630

53012016 has 120 divisors (see below), whose sum is σ = 158102480. Its totient is φ = 17003520.

The previous prime is 53011999. The next prime is 53012027. The reversal of 53012016 is 61021035.

53012016 is a `hidden beast` number, since 530 + 120 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 53012016.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 726156 + ... + 726228.

Almost surely, 253012016 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 53012016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79051240).

53012016 is an abundant number, since it is smaller than the sum of its proper divisors (105090464).

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

53012016 is a wasteful number, since it uses less digits than its factorization.

53012016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 53012016 is about 7280.9351047788. The cubic root of 53012016 is about 375.6569604026.

The spelling of 53012016 in words is "fifty-three million, twelve thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 73 82 108 123 144 146 164 216 219 246 292 328 369 432 438 492 584 656 657 738 876 984 1107 1168 1314 1476 1681 1752 1968 1971 2214 2628 2952 2993 3362 3504 3942 4428 5043 5256 5904 5986 6724 7884 8856 8979 10086 10512 11972 13448 15129 15768 17712 17958 20172 23944 26896 26937 30258 31536 35916 40344 45387 47888 53874 60516 71832 80688 80811 90774 107748 121032 122713 143664 161622 181548 215496 242064 245426 323244 363096 368139 430992 490852 646488 726192 736278 981704 1104417 1292976 1472556 1963408 2208834 2945112 3313251 4417668 5890224 6626502 8835336 13253004 17670672 26506008 53012016