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53706336 = 2534711903
BaseRepresentation
bin1100110011011…
…1111001100000
310202001120020120
43030313321200
5102222100321
65155040240
71221332145
oct314677140
9122046216
1053706336
1128352402
1215ba0080
13b1853c8
1471c03cc
154aacec6
hex3337e60

53706336 has 48 divisors (see below), whose sum is σ = 143990784. Its totient is φ = 17519744.

The previous prime is 53706313. The next prime is 53706361. The reversal of 53706336 is 63360735.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 53706297 and 53706306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1440 + ... + 10463.

It is an arithmetic number, because the mean of its divisors is an integer number (2999808).

Almost surely, 253706336 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 53706336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71995392).

53706336 is an abundant number, since it is smaller than the sum of its proper divisors (90284448).

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

53706336 is a wasteful number, since it uses less digits than its factorization.

53706336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11963 (or 11955 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 33.

The square root of 53706336 is about 7328.4606842092. The cubic root of 53706336 is about 377.2898960960.

The spelling of 53706336 in words is "fifty-three million, seven hundred six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 11903 23806 35709 47612 71418 95224 142836 190448 285672 380896 559441 571344 1118882 1142688 1678323 2237764 3356646 4475528 6713292 8951056 13426584 17902112 26853168 53706336