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53783028 = 2234131132
BaseRepresentation
bin1100110100101…
…0100111110100
310202012110110000
43031022213310
5102232024103
65200431300
71222101555
oct315124764
9122173400
1053783028
11283a4a92
1216018530
13b1b12a0
14720032c
154ac5aa3
hex334a9f4

53783028 has 90 divisors (see below), whose sum is σ = 152766614. Its totient is φ = 16402176.

The previous prime is 53783017. The next prime is 53783057. The reversal of 53783028 is 82038735.

It can be written as a sum of positive squares in 3 ways, for example, as 10381284 + 43401744 = 3222^2 + 6588^2 .

It is a super-2 number, since 2×537830282 = 5785228201697568, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 53782983 and 53783001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 475900 + ... + 476012.

Almost surely, 253783028 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 53783028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76383307).

53783028 is an abundant number, since it is smaller than the sum of its proper divisors (98983586).

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

53783028 is a wasteful number, since it uses less digits than its factorization.

53783028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 53783028 is about 7333.6912942938. The cubic root of 53783028 is about 377.4693991539.

The spelling of 53783028 in words is "fifty-three million, seven hundred eighty-three thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 113 117 156 162 226 234 324 339 351 452 468 678 702 1017 1053 1356 1404 1469 2034 2106 2938 3051 4068 4212 4407 5876 6102 8814 9153 12204 12769 13221 17628 18306 25538 26442 36612 38307 39663 51076 52884 76614 79326 114921 118989 153228 158652 165997 229842 237978 331994 344763 459684 475956 497991 663988 689526 995982 1034289 1379052 1493973 1991964 2068578 2987946 4137156 4481919 5975892 8963838 13445757 17927676 26891514 53783028