Search a number
-
+
575202040 = 235773107263
BaseRepresentation
bin100010010010001…
…110001011111000
31111002100021212021
4202102032023320
52134222431130
6133024324224
720153064610
oct4222161370
91432307767
10575202040
11275760896
12140773674
139222564a
145656da40
153577037a
hex2248e2f8

575202040 has 128 divisors (see below), whose sum is σ = 1519119360. Its totient is φ = 191960064.

The previous prime is 575202011. The next prime is 575202041. The reversal of 575202040 is 40202575.

It is a junction number, because it is equal to n+sod(n) for n = 575201996 and 575202014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575202041) by changing a digit.

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, 2186949 + ... + 2187211.

It is an arithmetic number, because the mean of its divisors is an integer number (11868120).

Almost surely, 2575202040 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 575202040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759559680).

575202040 is an abundant number, since it is smaller than the sum of its proper divisors (943917320).

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

575202040 is a wasteful number, since it uses less digits than its factorization.

575202040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 25.

The square root of 575202040 is about 23983.3700717810. The cubic root of 575202040 is about 831.6491332126.

The spelling of 575202040 in words is "five hundred seventy-five million, two hundred two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 73 107 140 146 214 263 280 292 365 428 511 526 535 584 730 749 856 1022 1052 1070 1315 1460 1498 1841 2044 2104 2140 2555 2630 2920 2996 3682 3745 4088 4280 5110 5260 5992 7364 7490 7811 9205 10220 10520 14728 14980 15622 18410 19199 20440 28141 29960 31244 36820 38398 39055 54677 56282 62488 73640 76796 78110 95995 109354 112564 134393 140705 153592 156220 191990 196987 218708 225128 268786 273385 281410 312440 383980 393974 437416 537572 546770 562820 671965 767960 787948 984935 1075144 1093540 1125640 1343930 1575896 1969870 2054293 2187080 2687860 3939740 4108586 5375720 7879480 8217172 10271465 14380051 16434344 20542930 28760102 41085860 57520204 71900255 82171720 115040408 143800510 287601020 575202040