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575050752 = 210352311
BaseRepresentation
bin100010010001101…
…001010000000000
31111002001121100000
4202101221100000
52134203111002
6133021200000
720151564543
oct4221512000
91432047300
10575050752
11275668161
12140700000
13921a1823
145653085a
153574061c
hex22469400

575050752 has 132 divisors (see below), whose sum is σ = 1722689696. Its totient is φ = 191600640.

The previous prime is 575050741. The next prime is 575050753. The reversal of 575050752 is 257050575.

575050752 is a `hidden beast` number, since 57 + 50 + 507 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575050753) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247677 + ... + 249987.

Almost surely, 2575050752 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 575050752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861344848).

575050752 is an abundant number, since it is smaller than the sum of its proper divisors (1147638944).

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

575050752 is an equidigital number, since it uses as much as digits as its factorization.

575050752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 61250, while the sum is 36.

The square root of 575050752 is about 23980.2158455674. The cubic root of 575050752 is about 831.5762141582.

The spelling of 575050752 in words is "five hundred seventy-five million, fifty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2304 2311 2592 3072 3456 3888 4608 4622 5184 6912 6933 7776 9216 9244 10368 13824 13866 15552 18488 20736 20799 27648 27732 31104 36976 41472 41598 55464 62208 62397 73952 82944 83196 110928 124416 124794 147904 166392 187191 221856 248832 249588 295808 332784 374382 443712 499176 561573 591616 665568 748764 887424 998352 1123146 1183232 1331136 1497528 1774848 1996704 2246292 2366464 2662272 2995056 3549696 3993408 4492584 5324544 5990112 7099392 7986816 8985168 10649088 11980224 15973632 17970336 21298176 23960448 31947264 35940672 47920896 63894528 71881344 95841792 143762688 191683584 287525376 575050752