Search a number
-
+
55709000 = 23531729113
BaseRepresentation
bin1101010010000…
…0110101001000
310212211022101022
43110200311020
5103230142000
65310012012
71244342624
oct324406510
9125738338
1055709000
112949aaa6
12167a7008
13b706b09
147582184
154d56585
hex3520d48

55709000 has 128 divisors (see below), whose sum is σ = 144050400. Its totient is φ = 20070400.

The previous prime is 55708993. The next prime is 55709009. The reversal of 55709000 is 90755.

It can be written as a sum of positive squares in 16 ways, for example, as 7628644 + 48080356 = 2762^2 + 6934^2 .

It is not an unprimeable number, because it can be changed into a prime (55709009) 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, 492944 + ... + 493056.

Almost surely, 255709000 is an apocalyptic number.

55709000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55709000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72025200).

55709000 is an abundant number, since it is smaller than the sum of its proper divisors (88341400).

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

55709000 is a wasteful number, since it uses less digits than its factorization.

55709000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 26.

The square root of 55709000 is about 7463.8461934850. The cubic root of 55709000 is about 381.9223913315.

Adding to 55709000 its reverse (90755), we get a palindrome (55799755).

The spelling of 55709000 in words is "fifty-five million, seven hundred nine thousand".

Divisors: 1 2 4 5 8 10 17 20 25 29 34 40 50 58 68 85 100 113 116 125 136 145 170 200 226 232 250 290 340 425 452 493 500 565 580 680 725 850 904 986 1000 1130 1160 1450 1700 1921 1972 2125 2260 2465 2825 2900 3277 3400 3625 3842 3944 4250 4520 4930 5650 5800 6554 7250 7684 8500 9605 9860 11300 12325 13108 14125 14500 15368 16385 17000 19210 19720 22600 24650 26216 28250 29000 32770 38420 48025 49300 55709 56500 61625 65540 76840 81925 96050 98600 111418 113000 123250 131080 163850 192100 222836 240125 246500 278545 327700 384200 409625 445672 480250 493000 557090 655400 819250 960500 1114180 1392725 1638500 1921000 2228360 2785450 3277000 5570900 6963625 11141800 13927250 27854500 55709000