Search a number
-
+
55562080 = 2557219373
BaseRepresentation
bin1101001111110…
…0111101100000
310212112211211211
43103330331200
5103210441310
65302515504
71243161400
oct323747540
9125484754
1055562080
11293aa682
1216735b94
13b684c92
147544800
154d27c8a
hex34fcf60

55562080 has 144 divisors (see below), whose sum is σ = 161164080. Its totient is φ = 17998848.

The previous prime is 55562047. The next prime is 55562081. The reversal of 55562080 is 8026555.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55562081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148774 + ... + 149146.

It is an arithmetic number, because the mean of its divisors is an integer number (1119195).

Almost surely, 255562080 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 55562080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80582040).

55562080 is an abundant number, since it is smaller than the sum of its proper divisors (105602000).

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

55562080 is a wasteful number, since it uses less digits than its factorization.

55562080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The square root of 55562080 is about 7453.9975851888. The cubic root of 55562080 is about 381.5863508487.

The spelling of 55562080 in words is "fifty-five million, five hundred sixty-two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 49 56 70 76 80 95 98 112 133 140 152 160 190 196 224 245 266 280 304 373 380 392 490 532 560 608 665 746 760 784 931 980 1064 1120 1330 1492 1520 1568 1862 1865 1960 2128 2611 2660 2984 3040 3724 3730 3920 4256 4655 5222 5320 5968 7087 7448 7460 7840 9310 10444 10640 11936 13055 14174 14896 14920 18277 18620 20888 21280 26110 28348 29792 29840 35435 36554 37240 41776 49609 52220 56696 59680 70870 73108 74480 83552 91385 99218 104440 113392 141740 146216 148960 182770 198436 208880 226784 248045 283480 292432 347263 365540 396872 417760 496090 566960 584864 694526 731080 793744 992180 1133920 1389052 1462160 1587488 1736315 1984360 2778104 2924320 3472630 3968720 5556208 6945260 7937440 11112416 13890520 27781040 55562080