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675166752 = 2535136679
BaseRepresentation
bin101000001111100…
…011101000100000
31202001110000200000
4220033203220200
52340320314002
6150555100000
722505552121
oct5017435040
91661400600
10675166752
11317128857
1216a141600
13a9b56070
1465952048
153e41961c
hex283e3a20

675166752 has 144 divisors (see below), whose sum is σ = 2144600640. Its totient is φ = 207712512.

The previous prime is 675166711. The next prime is 675166759. The reversal of 675166752 is 257661576.

675166752 is a `hidden beast` number, since 67 + 516 + 6 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 675166698 and 675166707.

It is not an unprimeable number, because it can be changed into a prime (675166759) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97749 + ... + 104427.

It is an arithmetic number, because the mean of its divisors is an integer number (14893060).

Almost surely, 2675166752 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 675166752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072300320).

675166752 is an abundant number, since it is smaller than the sum of its proper divisors (1469433888).

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

675166752 is a wasteful number, since it uses less digits than its factorization.

675166752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6717 (or 6697 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 675166752 is about 25983.9710590972. The cubic root of 675166752 is about 877.2775504506.

The spelling of 675166752 in words is "six hundred seventy-five million, one hundred sixty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 243 288 312 324 351 416 432 468 486 624 648 702 864 936 972 1053 1248 1296 1404 1872 1944 2106 2592 2808 3159 3744 3888 4212 5616 6318 6679 7776 8424 11232 12636 13358 16848 20037 25272 26716 33696 40074 50544 53432 60111 80148 86827 101088 106864 120222 160296 173654 180333 213728 240444 260481 320592 347308 360666 480888 520962 540999 641184 694616 721332 781443 961776 1041924 1081998 1389232 1442664 1562886 1622997 1923552 2083848 2163996 2344329 2778464 2885328 3125772 3245994 4167696 4327992 4688658 5770656 6251544 6491988 7032987 8335392 8655984 9377316 12503088 12983976 14065974 17311968 18754632 21098961 25006176 25967952 28131948 37509264 42197922 51935904 56263896 75018528 84395844 112527792 168791688 225055584 337583376 675166752