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53429688 = 23321324391
BaseRepresentation
bin1100101111010…
…0010110111000
310201112111202100
43023310112320
5102134222223
65145103400
71216100454
oct313642670
9121474670
1053429688
1128183574
1215a87b60
13b0b9500
14714b664
154a56043
hex32f45b8

53429688 has 72 divisors (see below), whose sum is σ = 156728520. Its totient is φ = 16436160.

The previous prime is 53429681. The next prime is 53429723. The reversal of 53429688 is 88692435.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53429681) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9973 + ... + 14363.

It is an arithmetic number, because the mean of its divisors is an integer number (2176785).

Almost surely, 253429688 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 53429688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78364260).

53429688 is an abundant number, since it is smaller than the sum of its proper divisors (103298832).

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

53429688 is a wasteful number, since it uses less digits than its factorization.

53429688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4429 (or 4409 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 53429688 is about 7309.5614095512. The cubic root of 53429688 is about 376.6409582092.

The spelling of 53429688 in words is "fifty-three million, four hundred twenty-nine thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 4391 6084 8782 12168 13173 17564 26346 35128 39519 52692 57083 79038 105384 114166 158076 171249 228332 316152 342498 456664 513747 684996 742079 1027494 1369992 1484158 2054988 2226237 2968316 4109976 4452474 5936632 6678711 8904948 13357422 17809896 26714844 53429688