Search a number
-
+
557015000 = 23541011103
BaseRepresentation
bin100001001100110…
…101111111011000
31102211010021221012
4201030311333120
52120043440000
6131134433052
716542356303
oct4114657730
91384107835
10557015000
11266469683
12136662788
138b528499
1453d97b3a
1533d7b735
hex21335fd8

557015000 has 80 divisors (see below), whose sum is σ = 1319202720. Its totient is φ = 220400000.

The previous prime is 557014993. The next prime is 557015009. The reversal of 557015000 is 510755.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557015009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 504449 + ... + 505551.

It is an arithmetic number, because the mean of its divisors is an integer number (16490034).

Almost surely, 2557015000 is an apocalyptic number.

557015000 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 557015000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659601360).

557015000 is an abundant number, since it is smaller than the sum of its proper divisors (762187720).

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

557015000 is a wasteful number, since it uses less digits than its factorization.

557015000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 875, while the sum is 23.

The square root of 557015000 is about 23601.1652254714. The cubic root of 557015000 is about 822.7899219067.

Adding to 557015000 its reverse (510755), we get a palindrome (557525755).

The spelling of 557015000 in words is "five hundred fifty-seven million, fifteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 625 808 1000 1010 1103 1250 2020 2206 2500 2525 4040 4412 5000 5050 5515 8824 10100 11030 12625 20200 22060 25250 27575 44120 50500 55150 63125 101000 110300 111403 126250 137875 220600 222806 252500 275750 445612 505000 551500 557015 689375 891224 1103000 1114030 1378750 2228060 2757500 2785075 4456120 5515000 5570150 11140300 13925375 22280600 27850750 55701500 69626875 111403000 139253750 278507500 557015000