Search a number
-
+
55825420 = 22571931677
BaseRepresentation
bin1101010011110…
…1010000001100
310220001020002011
43110331100030
5103242403140
65312311004
71245336220
oct324752014
9126036064
1055825420
112956a512
1216842464
13b747ac1
1475b2780
154d7acea
hex353d40c

55825420 has 96 divisors (see below), whose sum is σ = 145797120. Its totient is φ = 17521920.

The previous prime is 55825411. The next prime is 55825421. The reversal of 55825420 is 2452855.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (55825421) 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, 82122 + ... + 82798.

It is an arithmetic number, because the mean of its divisors is an integer number (1518720).

Almost surely, 255825420 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 55825420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72898560).

55825420 is an abundant number, since it is smaller than the sum of its proper divisors (89971700).

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

55825420 is a wasteful number, since it uses less digits than its factorization.

55825420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

The square root of 55825420 is about 7471.6410513354. The cubic root of 55825420 is about 382.1882518309.

The spelling of 55825420 in words is "fifty-five million, eight hundred twenty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 31 35 38 62 70 76 95 124 133 140 155 190 217 266 310 380 434 532 589 620 665 677 868 1085 1178 1330 1354 2170 2356 2660 2708 2945 3385 4123 4340 4739 5890 6770 8246 9478 11780 12863 13540 16492 18956 20615 20987 23695 25726 41230 41974 47390 51452 64315 82460 83948 90041 94780 104935 128630 146909 180082 209870 257260 293818 360164 398753 419740 450205 587636 734545 797506 900410 1469090 1595012 1800820 1993765 2791271 2938180 3987530 5582542 7975060 11165084 13956355 27912710 55825420