Search a number
-
+
53403392 = 287171753
BaseRepresentation
bin1100101110110…
…1111100000000
310201111011200102
43023231330000
5102132402032
65144341532
71215631010
oct313557400
9121434612
1053403392
1128165839
1215a748a8
13b0aa553
147141c40
154a4d362
hex32edf00

53403392 has 72 divisors (see below), whose sum is σ = 129066336. Its totient is φ = 21528576.

The previous prime is 53403391. The next prime is 53403407. The reversal of 53403392 is 29330435.

53403392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53403391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29588 + ... + 31340.

It is an arithmetic number, because the mean of its divisors is an integer number (1792588).

Almost surely, 253403392 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 53403392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64533168).

53403392 is an abundant number, since it is smaller than the sum of its proper divisors (75662944).

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

53403392 is a wasteful number, since it uses less digits than its factorization.

53403392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 29.

The square root of 53403392 is about 7307.7624482464. The cubic root of 53403392 is about 376.5791587598.

The spelling of 53403392 in words is "fifty-three million, four hundred three thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 544 896 952 1088 1753 1792 1904 2176 3506 3808 4352 7012 7616 12271 14024 15232 24542 28048 29801 30464 49084 56096 59602 98168 112192 119204 196336 208607 224384 238408 392672 417214 448768 476816 785344 834428 953632 1570688 1668856 1907264 3141376 3337712 3814528 6675424 7629056 13350848 26701696 53403392