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557273332 = 227112297901
BaseRepresentation
bin100001001101110…
…101000011110100
31102211121102022001
4201031311003310
52120130221312
6131144145044
716544513410
oct4115650364
91384542261
10557273332
11266625780
12136768184
138b5b8c45
1454023d40
1533dcd057
hex213750f4

557273332 has 48 divisors (see below), whose sum is σ = 1221333120. Its totient is φ = 216144000.

The previous prime is 557273303. The next prime is 557273351. The reversal of 557273332 is 233372755.

It is a junction number, because it is equal to n+sod(n) for n = 557273291 and 557273300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66582 + ... + 74482.

It is an arithmetic number, because the mean of its divisors is an integer number (25444440).

Almost surely, 2557273332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557273332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610666560).

557273332 is an abundant number, since it is smaller than the sum of its proper divisors (664059788).

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

557273332 is a wasteful number, since it uses less digits than its factorization.

557273332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8152 (or 8150 counting only the distinct ones).

The product of its digits is 132300, while the sum is 37.

The square root of 557273332 is about 23606.6374564443. The cubic root of 557273332 is about 822.9170998793.

The spelling of 557273332 in words is "five hundred fifty-seven million, two hundred seventy-three thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 229 308 458 916 1603 2519 3206 5038 6412 7901 10076 15802 17633 31604 35266 55307 70532 86911 110614 173822 221228 347644 608377 1216754 1809329 2433508 3618658 7237316 12665303 19902619 25330606 39805238 50661212 79610476 139318333 278636666 557273332