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5898100 = 2252132349
BaseRepresentation
bin10110011111111101110100
3102002122200011
4112133331310
53002214400
6330230004
7101063425
oct26377564
912078604
105898100
11336936a
121b85304
1312b6800
14ad764c
157b78ba
hex59ff74

5898100 has 54 divisors (see below), whose sum is σ = 13898850. Its totient is φ = 2171520.

The previous prime is 5898071. The next prime is 5898121. The reversal of 5898100 is 18985.

It can be written as a sum of positive squares in 9 ways, for example, as 3055504 + 2842596 = 1748^2 + 1686^2 .

It is a super-2 number, since 2×58981002 = 69575167220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16726 + ... + 17074.

Almost surely, 25898100 is an apocalyptic number.

5898100 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 5898100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6949425).

5898100 is an abundant number, since it is smaller than the sum of its proper divisors (8000750).

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

5898100 is a wasteful number, since it uses less digits than its factorization.

5898100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 31.

The square root of 5898100 is about 2428.6004199950. The cubic root of 5898100 is about 180.6774880086.

The spelling of 5898100 in words is "five million, eight hundred ninety-eight thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 349 650 676 698 845 1300 1396 1690 1745 3380 3490 4225 4537 6980 8450 8725 9074 16900 17450 18148 22685 34900 45370 58981 90740 113425 117962 226850 235924 294905 453700 589810 1179620 1474525 2949050 5898100