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53332992 = 21034643
BaseRepresentation
bin1100101101110…
…0110000000000
310201100121010000
43023130300000
5102123123432
65143040000
71215215526
oct313346000
9121317100
1053332992
1128117959
1215a40000
13b0844ab
147124316
154a3757c
hex32dcc00

53332992 has 110 divisors (see below), whose sum is σ = 159510428. Its totient is φ = 17750016.

The previous prime is 53332987. The next prime is 53333003. The reversal of 53332992 is 29923335.

53332992 is a `hidden beast` number, since 533 + 32 + 9 + 92 = 666.

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 9 ways as a sum of consecutive naturals, for example, 82623 + ... + 83265.

Almost surely, 253332992 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 53332992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79755214).

53332992 is an abundant number, since it is smaller than the sum of its proper divisors (106177436).

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

53332992 is an equidigital number, since it uses as much as digits as its factorization.

53332992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 648 counting only the distinct ones).

The product of its digits is 43740, while the sum is 36.

The square root of 53332992 is about 7302.9440638690. The cubic root of 53332992 is about 376.4136085333.

The spelling of 53332992 in words is "fifty-three million, three hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 643 648 768 864 1024 1152 1286 1296 1536 1728 1929 2304 2572 2592 3072 3456 3858 4608 5144 5184 5787 6912 7716 9216 10288 10368 11574 13824 15432 17361 20576 20736 23148 27648 30864 34722 41152 41472 46296 52083 61728 69444 82304 82944 92592 104166 123456 138888 164608 185184 208332 246912 277776 329216 370368 416664 493824 555552 658432 740736 833328 987648 1111104 1481472 1666656 1975296 2222208 2962944 3333312 4444416 5925888 6666624 8888832 13333248 17777664 26666496 53332992