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53664520 = 23571323641
BaseRepresentation
bin1100110010110…
…1101100001000
310201222102212211
43030231230020
5102214231040
65154114504
71221066220
oct314555410
9121872784
1053664520
1128323a48
1215b7ba34
13b16c370
1471ad080
154aa08ea
hex332db08

53664520 has 128 divisors (see below), whose sum is σ = 155312640. Its totient is φ = 16220160.

The previous prime is 53664517. The next prime is 53664539. The reversal of 53664520 is 2546635.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83400 + ... + 84040.

It is an arithmetic number, because the mean of its divisors is an integer number (1213380).

Almost surely, 253664520 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 53664520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77656320).

53664520 is an abundant number, since it is smaller than the sum of its proper divisors (101648120).

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

53664520 is a wasteful number, since it uses less digits than its factorization.

53664520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 53664520 is about 7325.6071420736. The cubic root of 53664520 is about 377.1919507891.

It can be divided in two parts, 536 and 64520, that added together give a palindrome (65056).

The spelling of 53664520 in words is "fifty-three million, six hundred sixty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 23 26 28 35 40 46 52 56 65 70 91 92 104 115 130 140 161 182 184 230 260 280 299 322 364 455 460 520 598 641 644 728 805 910 920 1196 1282 1288 1495 1610 1820 2093 2392 2564 2990 3205 3220 3640 4186 4487 5128 5980 6410 6440 8333 8372 8974 10465 11960 12820 14743 16666 16744 17948 20930 22435 25640 29486 33332 35896 41665 41860 44870 58331 58972 66664 73715 83330 83720 89740 103201 116662 117944 147430 166660 179480 191659 206402 233324 291655 294860 333320 383318 412804 466648 516005 583310 589720 766636 825608 958295 1032010 1166620 1341613 1533272 1916590 2064020 2333240 2683226 3833180 4128040 5366452 6708065 7666360 10732904 13416130 26832260 53664520