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55804560 = 2435759563
BaseRepresentation
bin1101010011100…
…0001010010000
310220000011110120
43110320022100
5103241221220
65312030240
71245221340
oct324701220
9126004416
1055804560
1129555879
1216832380
13b73b466
1475a8d20
154d74a40
hex3538290

55804560 has 160 divisors (see below), whose sum is σ = 201415680. Its totient is φ = 12516864.

The previous prime is 55804549. The next prime is 55804561. The reversal of 55804560 is 6540855.

It is a super-2 number, since 2×558045602 = 6228297833587200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55804561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98839 + ... + 99401.

It is an arithmetic number, because the mean of its divisors is an integer number (1258848).

Almost surely, 255804560 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 55804560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100707840).

55804560 is an abundant number, since it is smaller than the sum of its proper divisors (145611120).

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

55804560 is a wasteful number, since it uses less digits than its factorization.

55804560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 55804560 is about 7470.2449759027. The cubic root of 55804560 is about 382.1406424554.

The spelling of 55804560 in words is "fifty-five million, eight hundred four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 59 60 70 80 84 105 112 118 120 140 168 177 210 236 240 280 295 336 354 413 420 472 560 563 590 708 826 840 885 944 1126 1180 1239 1416 1652 1680 1689 1770 2065 2252 2360 2478 2815 2832 3304 3378 3540 3941 4130 4504 4720 4956 5630 6195 6608 6756 7080 7882 8260 8445 9008 9912 11260 11823 12390 13512 14160 15764 16520 16890 19705 19824 22520 23646 24780 27024 31528 33040 33217 33780 39410 45040 47292 49560 59115 63056 66434 67560 78820 94584 99120 99651 118230 132868 135120 157640 166085 189168 199302 232519 236460 265736 315280 332170 398604 465038 472920 498255 531472 664340 697557 797208 930076 945840 996510 1162595 1328680 1395114 1594416 1860152 1993020 2325190 2657360 2790228 3487785 3720304 3986040 4650380 5580456 6975570 7972080 9300760 11160912 13951140 18601520 27902280 55804560