Search a number
-
+
55597000 = 2353531049
BaseRepresentation
bin1101010000010…
…1011111001000
310212121121202011
43110011133020
5103213101000
65303345304
71243365244
oct324053710
9125547664
1055597000
1129423938
1216752234
13b697b44
147553424
154d332ba
hex35057c8

55597000 has 64 divisors (see below), whose sum is σ = 132678000. Its totient is φ = 21798400.

The previous prime is 55596991. The next prime is 55597001. The reversal of 55597000 is 79555.

It can be written as a sum of positive squares in 8 ways, for example, as 14303524 + 41293476 = 3782^2 + 6426^2 .

It is not an unprimeable number, because it can be changed into a prime (55597001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52476 + ... + 53524.

Almost surely, 255597000 is an apocalyptic number.

55597000 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 55597000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66339000).

55597000 is an abundant number, since it is smaller than the sum of its proper divisors (77081000).

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

55597000 is a wasteful number, since it uses less digits than its factorization.

55597000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 7875, while the sum is 31.

The square root of 55597000 is about 7456.3395845415. The cubic root of 55597000 is about 381.6662746914. Note that the first 3 decimals are identical.

The spelling of 55597000 in words is "fifty-five million, five hundred ninety-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 200 212 250 265 424 500 530 1000 1049 1060 1325 2098 2120 2650 4196 5245 5300 6625 8392 10490 10600 13250 20980 26225 26500 41960 52450 53000 55597 104900 111194 131125 209800 222388 262250 277985 444776 524500 555970 1049000 1111940 1389925 2223880 2779850 5559700 6949625 11119400 13899250 27798500 55597000