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55495560 = 23352937431
BaseRepresentation
bin1101001110110…
…0101110001000
310212102110121010
43103230232020
5103201324220
65301243520
71242463431
oct323545610
9125373533
1055495560
11293646aa
12167035a0
13b660913
147528488
154d131e0
hex34ecb88

55495560 has 128 divisors (see below), whose sum is σ = 177292800. Its totient is φ = 13870080.

The previous prime is 55495541. The next prime is 55495613. The reversal of 55495560 is 6559455.

55495560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128545 + ... + 128975.

It is an arithmetic number, because the mean of its divisors is an integer number (1385100).

Almost surely, 255495560 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 55495560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88646400).

55495560 is an abundant number, since it is smaller than the sum of its proper divisors (121797240).

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

55495560 is a wasteful number, since it uses less digits than its factorization.

55495560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 39.

The square root of 55495560 is about 7449.5342136271. The cubic root of 55495560 is about 381.4340091766.

The spelling of 55495560 in words is "fifty-five million, four hundred ninety-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 37 40 58 60 74 87 111 116 120 145 148 174 185 222 232 290 296 348 370 431 435 444 555 580 696 740 862 870 888 1073 1110 1160 1293 1480 1724 1740 2146 2155 2220 2586 3219 3448 3480 4292 4310 4440 5172 5365 6438 6465 8584 8620 10344 10730 12499 12876 12930 15947 16095 17240 21460 24998 25752 25860 31894 32190 37497 42920 47841 49996 51720 62495 63788 64380 74994 79735 95682 99992 124990 127576 128760 149988 159470 187485 191364 239205 249980 299976 318940 374970 382728 462463 478410 499960 637880 749940 924926 956820 1387389 1499880 1849852 1913640 2312315 2774778 3699704 4624630 5549556 6936945 9249260 11099112 13873890 18498520 27747780 55495560