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673774752 = 25376911451
BaseRepresentation
bin101000001010001…
…111110010100000
31201221211022012110
4220022033302200
52334441243002
6150505155320
722460663610
oct5012176240
91657738173
10673774752
11316367a42
1216978bb40
13a97895b1
14656aca40
153e241e6c
hex2828fca0

673774752 has 96 divisors (see below), whose sum is σ = 2025644544. Its totient is φ = 192096000.

The previous prime is 673774747. The next prime is 673774757. The reversal of 673774752 is 257477376.

It is an interprime number because it is at equal distance from previous prime (673774747) and next prime (673774757).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (673774757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463627 + ... + 465077.

It is an arithmetic number, because the mean of its divisors is an integer number (21100464).

Almost surely, 2673774752 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 673774752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012822272).

673774752 is an abundant number, since it is smaller than the sum of its proper divisors (1351869792).

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

673774752 is a wasteful number, since it uses less digits than its factorization.

673774752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2154 counting only the distinct ones).

The product of its digits is 1728720, while the sum is 48.

The square root of 673774752 is about 25957.1714945986. The cubic root of 673774752 is about 876.6742374945.

The spelling of 673774752 in words is "six hundred seventy-three million, seven hundred seventy-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 691 1382 1451 2073 2764 2902 4146 4353 4837 5528 5804 8292 8706 9674 10157 11056 11608 14511 16584 17412 19348 20314 22112 23216 29022 30471 33168 34824 38696 40628 46432 58044 60942 66336 69648 77392 81256 116088 121884 139296 154784 162512 232176 243768 325024 464352 487536 975072 1002641 2005282 3007923 4010564 6015846 7018487 8021128 12031692 14036974 16042256 21055461 24063384 28073948 32084512 42110922 48126768 56147896 84221844 96253536 112295792 168443688 224591584 336887376 673774752