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557243236 = 22112292372
BaseRepresentation
bin100001001101101…
…101101101100100
31102211112220000101
4201031231231210
52120123240421
6131143353444
716544326564
oct4115555544
91384486011
10557243236
11266605100
12136752884
138b5a8334
1454016da4
1533dc4191
hex2136db64

557243236 has 81 divisors (see below), whose sum is σ = 1140937707. Its totient is φ = 237948480.

The previous prime is 557243231. The next prime is 557243243. The reversal of 557243236 is 632342755.

557243236 = T3113 + T3114 + ... + T3223.

The square root of 557243236 is 23606.

It is a perfect power (a square), and thus also a powerful number.

557243236 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 118592100 + 438651136 = 10890^2 + 20944^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 557243195 and 557243204.

It is not an unprimeable number, because it can be changed into a prime (557243231) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15060610 + ... + 15060646.

Almost surely, 2557243236 is an apocalyptic number.

557243236 is the 23606-th square number.

It is an amenable number.

557243236 is an abundant number, since it is smaller than the sum of its proper divisors (583694471).

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

557243236 is a wasteful number, since it uses less digits than its factorization.

557243236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 79 counting only the distinct ones).

The product of its digits is 151200, while the sum is 37.

The cubic root of 557243236 is about 822.9022855100.

The spelling of 557243236 in words is "five hundred fifty-seven million, two hundred forty-three thousand, two hundred thirty-six".

Divisors: 1 2 4 11 22 29 37 44 58 74 116 121 148 242 319 407 484 638 814 841 1073 1276 1369 1628 1682 2146 2738 3364 3509 4292 4477 5476 7018 8954 9251 11803 14036 15059 17908 18502 23606 30118 31117 37004 39701 47212 60236 62234 79402 101761 124468 129833 158804 165649 203522 259666 331298 342287 407044 436711 519332 662596 684574 873422 1151329 1369148 1746844 2302658 3765157 4605316 4803821 7530314 9607642 12664619 15060628 19215284 25329238 50658476 139310809 278621618 557243236