Search a number
-
+
557271400 = 23527439257
BaseRepresentation
bin100001001101110…
…100100101101000
31102211121022122111
4201031310211220
52120130141100
6131144132104
716544504650
oct4115644550
91384538574
10557271400
11266624284
12136767034
138b5b80ba
1454023360
1533dcc6ba
hex21374968

557271400 has 96 divisors (see below), whose sum is σ = 1515349440. Its totient is φ = 186600960.

The previous prime is 557271397. The next prime is 557271413. The reversal of 557271400 is 4172755.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55572 + ... + 64828.

It is an arithmetic number, because the mean of its divisors is an integer number (15784890).

Almost surely, 2557271400 is an apocalyptic number.

557271400 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 557271400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757674720).

557271400 is an abundant number, since it is smaller than the sum of its proper divisors (958078040).

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

557271400 is a wasteful number, since it uses less digits than its factorization.

557271400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9323 (or 9314 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 31.

The square root of 557271400 is about 23606.5965357143. The cubic root of 557271400 is about 822.9161488932.

The spelling of 557271400 in words is "five hundred fifty-seven million, two hundred seventy-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 43 50 56 70 86 100 140 172 175 200 215 280 301 344 350 430 602 700 860 1075 1204 1400 1505 1720 2150 2408 3010 4300 6020 7525 8600 9257 12040 15050 18514 30100 37028 46285 60200 64799 74056 92570 129598 185140 231425 259196 323995 370280 398051 462850 518392 647990 796102 925700 1295980 1592204 1619975 1851400 1990255 2591960 2786357 3184408 3239950 3980510 5572714 6479900 7961020 9951275 11145428 12959800 13931785 15922040 19902550 22290856 27863570 39805100 55727140 69658925 79610200 111454280 139317850 278635700 557271400