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673525376 = 27192312041
BaseRepresentation
bin101000001001010…
…010111010000000
31201221100122010022
4220021102322000
52334410303001
6150455553012
722455604556
oct5011227200
91657318108
10673525376
11316207647
1216968b768
13a96ccc34
1465645bd6
153e1e311b
hex28252e80

673525376 has 64 divisors (see below), whose sum is σ = 1473940800. Its totient is φ = 305141760.

The previous prime is 673525367. The next prime is 673525421.

673525376 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49916 + ... + 61956.

It is an arithmetic number, because the mean of its divisors is an integer number (23030325).

Almost surely, 2673525376 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 673525376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736970400).

673525376 is an abundant number, since it is smaller than the sum of its proper divisors (800415424).

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

673525376 is a wasteful number, since it uses less digits than its factorization.

673525376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12097 (or 12085 counting only the distinct ones).

The product of its digits is 793800, while the sum is 44.

The square root of 673525376 is about 25952.3674449943. The cubic root of 673525376 is about 876.5660665806.

The spelling of 673525376 in words is "six hundred seventy-three million, five hundred twenty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 128 152 184 304 368 437 608 736 874 1216 1472 1748 2432 2944 3496 6992 12041 13984 24082 27968 48164 55936 96328 192656 228779 276943 385312 457558 553886 770624 915116 1107772 1541248 1830232 2215544 3660464 4431088 5261917 7320928 8862176 10523834 14641856 17724352 21047668 29283712 35448704 42095336 84190672 168381344 336762688 673525376