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53067768 = 23313374597
BaseRepresentation
bin1100101001101…
…1111111111000
310200212010021220
43022123333320
5102041132033
65133232040
71213032345
oct312337770
9120763256
1053067768
1127a56666
1215932620
13acc0860
1470957cc
1549d3bb3
hex329bff8

53067768 has 64 divisors (see below), whose sum is σ = 146768160. Its totient is φ = 15883776.

The previous prime is 53067701. The next prime is 53067809. The reversal of 53067768 is 86776035.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9246 + ... + 13842.

Almost surely, 253067768 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 53067768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73384080).

53067768 is an abundant number, since it is smaller than the sum of its proper divisors (93700392).

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

53067768 is a wasteful number, since it uses less digits than its factorization.

53067768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4656 (or 4652 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 53067768 is about 7284.7627277764. The cubic root of 53067768 is about 375.7886053307.

It can be divided in two parts, 53067 and 768, that multiplied together give a square (40755456 = 63842).

The spelling of 53067768 in words is "fifty-three million, sixty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 222 296 312 444 481 888 962 1443 1924 2886 3848 4597 5772 9194 11544 13791 18388 27582 36776 55164 59761 110328 119522 170089 179283 239044 340178 358566 478088 510267 680356 717132 1020534 1360712 1434264 2041068 2211157 4082136 4422314 6633471 8844628 13266942 17689256 26533884 53067768