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53894016 = 2732114253
BaseRepresentation
bin1100110110010…
…1101110000000
310202102002200200
43031211232000
5102244102031
65203045200
71223043261
oct315455600
9122362620
1053894016
1128470410
1216070800
13b21c967
14722c968
154ae88e6
hex3365b80

53894016 has 96 divisors (see below), whose sum is σ = 169224120. Its totient is φ = 16327680.

The previous prime is 53894011. The next prime is 53894021. The reversal of 53894016 is 61049835.

It is an interprime number because it is at equal distance from previous prime (53894011) and next prime (53894021).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53894011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10546 + ... + 14798.

Almost surely, 253894016 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 53894016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84612060).

53894016 is an abundant number, since it is smaller than the sum of its proper divisors (115330104).

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

53894016 is a wasteful number, since it uses less digits than its factorization.

53894016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4284 (or 4269 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 53894016 is about 7341.2543887268. The cubic root of 53894016 is about 377.7288725107.

The spelling of 53894016 in words is "fifty-three million, eight hundred ninety-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 4253 6336 8506 12672 12759 17012 25518 34024 38277 46783 51036 68048 76554 93566 102072 136096 140349 153108 187132 204144 272192 280698 306216 374264 408288 421047 544384 561396 612432 748528 816576 842094 1122792 1224864 1497056 1633152 1684188 2245584 2449728 2994112 3368376 4491168 4899456 5988224 6736752 8982336 13473504 17964672 26947008 53894016