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53330688 = 283279293
BaseRepresentation
bin1100101101110…
…0001100000000
310201100110221200
43023130030000
5102123040223
65143021200
71215206025
oct313341400
9121313850
1053330688
1128116154
1215a3a800
13b083428
14712354c
154a36a43
hex32dc300

53330688 has 108 divisors (see below), whose sum is σ = 156243360. Its totient is φ = 17491968.

The previous prime is 53330659. The next prime is 53330713. The reversal of 53330688 is 88603335.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181870 + ... + 182162.

Almost surely, 253330688 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 53330688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78121680).

53330688 is an abundant number, since it is smaller than the sum of its proper divisors (102912672).

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

53330688 is a wasteful number, since it uses less digits than its factorization.

53330688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 53330688 is about 7302.7863175640. The cubic root of 53330688 is about 376.4081880646.

The spelling of 53330688 in words is "fifty-three million, three hundred thirty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 128 144 158 192 237 256 288 293 316 384 474 576 586 632 711 768 879 948 1152 1172 1264 1422 1758 1896 2304 2344 2528 2637 2844 3516 3792 4688 5056 5274 5688 7032 7584 9376 10112 10548 11376 14064 15168 18752 20224 21096 22752 23147 28128 30336 37504 42192 45504 46294 56256 60672 69441 75008 84384 91008 92588 112512 138882 168768 182016 185176 208323 225024 277764 337536 370352 416646 555528 675072 740704 833292 1111056 1481408 1666584 2222112 2962816 3333168 4444224 5925632 6666336 8888448 13332672 17776896 26665344 53330688