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52355280 = 2435312227
BaseRepresentation
bin1100011110111…
…0000011010000
310122111220221110
43013232003100
5101400332110
65110053320
71204004205
oct307560320
9118456843
1052355280
112760a32a
121564a240
13ab01473
146d4bcac
1548e2a20
hex31ee0d0

52355280 has 120 divisors (see below), whose sum is σ = 168444576. Its totient is φ = 13451520.

The previous prime is 52355267. The next prime is 52355287. The reversal of 52355280 is 8255325.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52355287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230527 + ... + 230753.

Almost surely, 252355280 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 52355280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84222288).

52355280 is an abundant number, since it is smaller than the sum of its proper divisors (116089296).

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

52355280 is a wasteful number, since it uses less digits than its factorization.

52355280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 52355280 is about 7235.6948526040. The cubic root of 52355280 is about 374.0992425395.

The spelling of 52355280 in words is "fifty-two million, three hundred fifty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 227 240 248 310 372 454 465 496 620 681 744 908 930 961 1135 1240 1362 1488 1816 1860 1922 2270 2480 2724 2883 3405 3632 3720 3844 4540 4805 5448 5766 6810 7037 7440 7688 9080 9610 10896 11532 13620 14074 14415 15376 18160 19220 21111 23064 27240 28148 28830 35185 38440 42222 46128 54480 56296 57660 70370 76880 84444 105555 112592 115320 140740 168888 211110 218147 230640 281480 337776 422220 436294 562960 654441 844440 872588 1090735 1308882 1688880 1745176 2181470 2617764 3272205 3490352 4362940 5235528 6544410 8725880 10471056 13088820 17451760 26177640 52355280