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53014528 = 2127432
BaseRepresentation
bin1100101000111…
…1000000000000
310200202102021001
43022033000000
5102032431103
65132141344
71212421210
oct312170000
9120672231
1053014528
1127a1a666
1215907854
13aca2558
147080240
1549c301d
hex328f000

53014528 has 78 divisors (see below), whose sum is σ = 124044504. Its totient is φ = 22192128.

The previous prime is 53014519. The next prime is 53014529. The reversal of 53014528 is 82541035.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 53014496 and 53014505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53014529) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1232875 + ... + 1232917.

Almost surely, 253014528 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 53014528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62022252).

53014528 is an abundant number, since it is smaller than the sum of its proper divisors (71029976).

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

53014528 is an frugal number, since it uses more digits than its factorization.

53014528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 53014528 is about 7281.1076080498. The cubic root of 53014528 is about 375.6628938711.

Multiplying 53014528 by its sum of digits (28), we get a square (1484406784 = 385282).

53014528 divided by its sum of digits (28) gives a square (1893376 = 13762).

The spelling of 53014528 in words is "fifty-three million, fourteen thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 224 256 301 344 448 512 602 688 896 1024 1204 1376 1792 1849 2048 2408 2752 3584 3698 4096 4816 5504 7168 7396 9632 11008 12943 14336 14792 19264 22016 25886 28672 29584 38528 44032 51772 59168 77056 88064 103544 118336 154112 176128 207088 236672 308224 414176 473344 616448 828352 946688 1232896 1656704 1893376 3313408 3786752 6626816 7573504 13253632 26507264 53014528