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53780688 = 24321328729
BaseRepresentation
bin1100110100101…
…0000011010000
310202012100020100
43031022003100
5102231440223
65200412400
71222062003
oct315120320
9122170210
1053780688
11283a3255
1216017100
13b1b01c0
1471dd53a
154ac5043
hex334a0d0

53780688 has 60 divisors (see below), whose sum is σ = 162094660. Its totient is φ = 16547328.

The previous prime is 53780681. The next prime is 53780689. The reversal of 53780688 is 88608735.

It can be written as a sum of positive squares in 2 ways, for example, as 13483584 + 40297104 = 3672^2 + 6348^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53780681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12493 + ... + 16236.

Almost surely, 253780688 is an apocalyptic number.

It is an amenable number.

53780688 is an abundant number, since it is smaller than the sum of its proper divisors (108313972).

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

53780688 is a wasteful number, since it uses less digits than its factorization.

53780688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28756 (or 28747 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 53780688 is about 7333.5317548914. The cubic root of 53780688 is about 377.4639247429.

It can be divided in two parts, 537 and 80688, that added together give a square (81225 = 2852).

The spelling of 53780688 in words is "fifty-three million, seven hundred eighty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 28729 57458 86187 114916 172374 229832 258561 344748 373477 459664 517122 689496 746954 1034244 1120431 1378992 1493908 2068488 2240862 2987816 3361293 4136976 4481724 5975632 6722586 8963448 13445172 17926896 26890344 53780688