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575107040 = 25531472467
BaseRepresentation
bin100010010001110…
…110111111100000
31111002011110112202
4202101312333200
52134211411130
6133022312332
720152220624
oct4221667740
91432143482
10575107040
112756a6482
121407286a8
13921c1331
1456547184
1535752145
hex22476fe0

575107040 has 96 divisors (see below), whose sum is σ = 1432940544. Its totient is φ = 217797120.

The previous prime is 575107037. The next prime is 575107061. The reversal of 575107040 is 40701575.

575107040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 575106994 and 575107012.

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, 231887 + ... + 234353.

It is an arithmetic number, because the mean of its divisors is an integer number (14926464).

Almost surely, 2575107040 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 575107040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716470272).

575107040 is an abundant number, since it is smaller than the sum of its proper divisors (857833504).

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

575107040 is a wasteful number, since it uses less digits than its factorization.

575107040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 29.

The square root of 575107040 is about 23981.3894509889. The cubic root of 575107040 is about 831.6033458126.

The spelling of 575107040 in words is "five hundred seventy-five million, one hundred seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 47 62 80 94 124 155 160 188 235 248 310 376 470 496 620 752 940 992 1240 1457 1504 1880 2467 2480 2914 3760 4934 4960 5828 7285 7520 9868 11656 12335 14570 19736 23312 24670 29140 39472 46624 49340 58280 76477 78944 98680 115949 116560 152954 197360 231898 233120 305908 382385 394720 463796 579745 611816 764770 927592 1159490 1223632 1529540 1855184 2318980 2447264 3059080 3594419 3710368 4637960 6118160 7188838 9275920 12236320 14377676 17972095 18551840 28755352 35944190 57510704 71888380 115021408 143776760 287553520 575107040