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52883712 = 283371093
BaseRepresentation
bin1100100110111…
…1000100000000
310200111202211000
43021233010000
5102014234322
65125252000
71211334630
oct311570400
9120452730
1052883712
1127940352
1215864000
13ac57b4b
1470486c0
1549993ac
hex326f100

52883712 has 144 divisors (see below), whose sum is σ = 178890880. Its totient is φ = 15095808.

The previous prime is 52883683. The next prime is 52883713. The reversal of 52883712 is 21738825.

52883712 is a `hidden beast` number, since 5 + 288 + 371 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (52883713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47838 + ... + 48930.

Almost surely, 252883712 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 52883712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89445440).

52883712 is an abundant number, since it is smaller than the sum of its proper divisors (126007168).

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

52883712 is a wasteful number, since it uses less digits than its factorization.

52883712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1105 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 52883712 is about 7272.1188109106. The cubic root of 52883712 is about 375.3536503789.

The spelling of 52883712 in words is "fifty-two million, eight hundred eighty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1093 1152 1344 1512 1728 1792 2016 2186 2304 2688 3024 3279 3456 4032 4372 5376 6048 6558 6912 7651 8064 8744 9837 12096 13116 15302 16128 17488 19674 22953 24192 26232 29511 30604 34976 39348 45906 48384 52464 59022 61208 68859 69952 78696 91812 104928 118044 122416 137718 139904 157392 183624 206577 209856 236088 244832 275436 279808 314784 367248 413154 419712 472176 489664 550872 629568 734496 826308 839424 944352 979328 1101744 1259136 1468992 1652616 1888704 1958656 2203488 2518272 2937984 3305232 3777408 4406976 5875968 6610464 7554816 8813952 13220928 17627904 26441856 52883712