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53694336 = 273672087
BaseRepresentation
bin1100110011010…
…0111110000000
310202000221210010
43030310332000
5102221204321
65154504520
71221252153
oct314647600
9122027703
1053694336
1128344393
1215b95140
13b17cac7
1471b9c9a
154aa9676
hex3334f80

53694336 has 64 divisors (see below), whose sum is σ = 144823680. Its totient is φ = 17622528.

The previous prime is 53694331. The next prime is 53694349. The reversal of 53694336 is 63349635.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 53694294 and 53694303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53694331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24685 + ... + 26771.

It is an arithmetic number, because the mean of its divisors is an integer number (2262870).

Almost surely, 253694336 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 53694336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72411840).

53694336 is an abundant number, since it is smaller than the sum of its proper divisors (91129344).

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

53694336 is a wasteful number, since it uses less digits than its factorization.

53694336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2159 counting only the distinct ones).

The product of its digits is 174960, while the sum is 39.

The square root of 53694336 is about 7327.6419126483. The cubic root of 53694336 is about 377.2617937879.

The spelling of 53694336 in words is "fifty-three million, six hundred ninety-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 268 384 402 536 804 1072 1608 2087 2144 3216 4174 4288 6261 6432 8348 8576 12522 12864 16696 25044 25728 33392 50088 66784 100176 133568 139829 200352 267136 279658 400704 419487 559316 801408 838974 1118632 1677948 2237264 3355896 4474528 6711792 8949056 13423584 17898112 26847168 53694336