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133150052 = 22721789449
BaseRepresentation
bin1111110111110…
…11010101100100
3100021112201112102
413323323111210
5233041300202
621113511232
73204520400
oct773732544
9307481472
10133150052
1169183672
1238712518
132177c519
1413980100
15ba51d02
hex7efb564

133150052 has 72 divisors (see below), whose sum is σ = 290871000. Its totient is φ = 52985856.

The previous prime is 133150037. The next prime is 133150093. The reversal of 133150052 is 250051331.

It can be written as a sum of positive squares in 4 ways, for example, as 23193856 + 109956196 = 4816^2 + 10486^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296324 + ... + 296772.

It is an arithmetic number, because the mean of its divisors is an integer number (4039875).

Almost surely, 2133150052 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 133150052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145435500).

133150052 is an abundant number, since it is smaller than the sum of its proper divisors (157720948).

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

133150052 is a wasteful number, since it uses less digits than its factorization.

133150052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 133150052 is about 11539.0663400468. The cubic root of 133150052 is about 510.6387638983.

The spelling of 133150052 in words is "one hundred thirty-three million, one hundred fifty thousand, fifty-two".

Divisors: 1 2 4 7 14 17 28 34 49 68 89 98 119 178 196 238 356 449 476 623 833 898 1246 1513 1666 1796 2492 3026 3143 3332 4361 6052 6286 7633 8722 10591 12572 15266 17444 21182 22001 30532 39961 42364 44002 53431 74137 79922 88004 106862 148274 159844 213724 279727 296548 374017 559454 679337 748034 1118908 1358674 1496068 1958089 2717348 3916178 4755359 7832356 9510718 19021436 33287513 66575026 133150052