Search a number
-
+
573752940 = 2235233791097
BaseRepresentation
bin100010001100101…
…100011001101100
31110222121200001220
4202030230121230
52133340043230
6132533303340
720134551045
oct4214543154
91428550056
10573752940
11274961092
12140194b50
1391b38ba7
14562b38cc
1535585d10
hex2232c66c

573752940 has 96 divisors (see below), whose sum is σ = 1682311680. Its totient is φ = 145829376.

The previous prime is 573752897. The next prime is 573753029. The reversal of 573752940 is 49257375.

573752940 = T424 + T425 + ... + T1520.

It is a junction number, because it is equal to n+sod(n) for n = 573752892 and 573752901.

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 31 ways as a sum of consecutive naturals, for example, 522472 + ... + 523568.

It is an arithmetic number, because the mean of its divisors is an integer number (17524080).

Almost surely, 2573752940 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 573752940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841155840).

573752940 is an abundant number, since it is smaller than the sum of its proper divisors (1108558740).

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

573752940 is a wasteful number, since it uses less digits than its factorization.

573752940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 42.

The square root of 573752940 is about 23953.1405039089. The cubic root of 573752940 is about 830.9501578219.

The spelling of 573752940 in words is "five hundred seventy-three million, seven hundred fifty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 379 460 690 758 1097 1137 1380 1516 1895 2194 2274 3291 3790 4388 4548 5485 5685 6582 7580 8717 10970 11370 13164 16455 17434 21940 22740 25231 26151 32910 34868 43585 50462 52302 65820 75693 87170 100924 104604 126155 130755 151386 174340 252310 261510 302772 378465 415763 504620 523020 756930 831526 1247289 1513860 1663052 2078815 2494578 4157630 4989156 6236445 8315260 9562549 12472890 19125098 24945780 28687647 38250196 47812745 57375294 95625490 114750588 143438235 191250980 286876470 573752940