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575476740 = 2232543149499
BaseRepresentation
bin100010010011010…
…001010000000100
31111002212020200100
4202103101100010
52134310223430
6133034244100
720155320516
oct4223212004
91432766610
10575476740
11275929213
12140886630
13922c06a7
1456601bb6
15357c6960
hex224d1404

575476740 has 144 divisors (see below), whose sum is σ = 1801800000. Its totient is φ = 148587264.

The previous prime is 575476723. The next prime is 575476747. The reversal of 575476740 is 47674575.

575476740 is a `hidden beast` number, since 5 + 7 + 547 + 67 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (575476747) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1153011 + ... + 1153509.

It is an arithmetic number, because the mean of its divisors is an integer number (12512500).

Almost surely, 2575476740 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 575476740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900900000).

575476740 is an abundant number, since it is smaller than the sum of its proper divisors (1226323260).

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

575476740 is a wasteful number, since it uses less digits than its factorization.

575476740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The square root of 575476740 is about 23989.0962730987. The cubic root of 575476740 is about 831.7815027355.

The spelling of 575476740 in words is "five hundred seventy-five million, four hundred seventy-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 149 172 180 215 258 298 387 430 447 499 516 596 645 745 774 860 894 998 1290 1341 1490 1497 1548 1788 1935 1996 2235 2495 2580 2682 2980 2994 3870 4470 4491 4990 5364 5988 6407 6705 7485 7740 8940 8982 9980 12814 13410 14970 17964 19221 21457 22455 25628 26820 29940 32035 38442 42914 44910 57663 64070 64371 74351 76884 85828 89820 96105 107285 115326 128140 128742 148702 192210 193113 214570 223053 230652 257484 288315 297404 321855 371755 384420 386226 429140 446106 576630 643710 669159 743510 772452 892212 965565 1115265 1153260 1287420 1338318 1487020 1931130 2230530 2676636 3197093 3345795 3862260 4461060 6394186 6691590 9591279 12788372 13383180 15985465 19182558 28773837 31970930 38365116 47956395 57547674 63941860 95912790 115095348 143869185 191825580 287738370 575476740