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53550640 = 245111331151
BaseRepresentation
bin1100110001000…
…1111000110000
310201202122200001
43030101320300
5102202110030
65151435344
71220113213
oct314217060
9121678601
1053550640
1128256430
1215b25b54
13b12c590
14717d77a
154a7bcca
hex3311e30

53550640 has 160 divisors (see below), whose sum is σ = 151990272. Its totient is φ = 17280000.

The previous prime is 53550631. The next prime is 53550641. The reversal of 53550640 is 4605535.

It is a junction number, because it is equal to n+sod(n) for n = 53550599 and 53550608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53550641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354565 + ... + 354715.

Almost surely, 253550640 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 53550640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75995136).

53550640 is an abundant number, since it is smaller than the sum of its proper divisors (98439632).

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

53550640 is a wasteful number, since it uses less digits than its factorization.

53550640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The square root of 53550640 is about 7317.8302795296. The cubic root of 53550640 is about 376.9249522862.

The spelling of 53550640 in words is "fifty-three million, five hundred fifty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 31 40 44 52 55 62 65 80 88 104 110 124 130 143 151 155 176 208 220 248 260 286 302 310 341 403 440 496 520 572 604 620 682 715 755 806 880 1040 1144 1208 1240 1364 1430 1510 1612 1661 1705 1963 2015 2288 2416 2480 2728 2860 3020 3224 3322 3410 3926 4030 4433 4681 5456 5720 6040 6448 6644 6820 7852 8060 8305 8866 9362 9815 11440 12080 13288 13640 15704 16120 16610 17732 18724 19630 21593 22165 23405 26576 27280 31408 32240 33220 35464 37448 39260 43186 44330 46810 51491 60853 66440 70928 74896 78520 86372 88660 93620 102982 107965 121706 132880 157040 172744 177320 187240 205964 215930 243412 257455 304265 345488 354640 374480 411928 431860 486824 514910 608530 669383 823856 863720 973648 1029820 1217060 1338766 1727440 2059640 2434120 2677532 3346915 4119280 4868240 5355064 6693830 10710128 13387660 26775320 53550640