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55497780 = 223251337641
BaseRepresentation
bin1101001110110…
…1010000110100
310212102120122100
43103231100310
5103201412110
65301302100
71242503052
oct323552064
9125376570
1055497780
1129366338
1216704930
13b661930
1475291d2
154d13bc0
hex34ed434

55497780 has 144 divisors (see below), whose sum is σ = 186483024. Its totient is φ = 13271040.

The previous prime is 55497763. The next prime is 55497811. The reversal of 55497780 is 8779455.

55497780 = 702 + 712 + ... + 5502.

55497780 is a `hidden beast` number, since 554 + 97 + 7 + 8 + 0 = 666.

55497780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2090916 + 53406864 = 1446^2 + 7308^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 86260 + ... + 86900.

It is an arithmetic number, because the mean of its divisors is an integer number (1295021).

Almost surely, 255497780 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 55497780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93241512).

55497780 is an abundant number, since it is smaller than the sum of its proper divisors (130985244).

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

55497780 is a wasteful number, since it uses less digits than its factorization.

55497780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 55497780 is about 7449.6832147414. The cubic root of 55497780 is about 381.4390953024.

The spelling of 55497780 in words is "fifty-five million, four hundred ninety-seven thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 37 39 45 52 60 65 74 78 90 111 117 130 148 156 180 185 195 222 234 260 333 370 390 444 468 481 555 585 641 666 740 780 962 1110 1170 1282 1332 1443 1665 1923 1924 2220 2340 2405 2564 2886 3205 3330 3846 4329 4810 5769 5772 6410 6660 7215 7692 8333 8658 9615 9620 11538 12820 14430 16666 17316 19230 21645 23076 23717 24999 28845 28860 33332 38460 41665 43290 47434 49998 57690 71151 74997 83330 86580 94868 99996 115380 118585 124995 142302 149994 166660 213453 237170 249990 284604 299988 308321 355755 374985 426906 474340 499980 616642 711510 749970 853812 924963 1067265 1233284 1423020 1499940 1541605 1849926 2134530 2774889 3083210 3699852 4269060 4624815 5549778 6166420 9249630 11099556 13874445 18499260 27748890 55497780