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274505472 = 2832283421
BaseRepresentation
bin10000010111001…
…001111100000000
3201010112022201100
4100113021330000
51030233133342
643123334400
76542154333
oct2027117400
9633468640
10274505472
11130a5102a
1277b21400
1344b42797
142865861a
1519174e4c
hex105c9f00

274505472 has 108 divisors (see below), whose sum is σ = 796150264. Its totient is φ = 90961920.

The previous prime is 274505471. The next prime is 274505489.

It is a happy number.

274505472 is nontrivially palindromic in base 10.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274505471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 651822 + ... + 652242.

Almost surely, 2274505472 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 274505472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398075132).

274505472 is an abundant number, since it is smaller than the sum of its proper divisors (521644792).

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

274505472 is a wasteful number, since it uses less digits than its factorization.

274505472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 274505472 is about 16568.2066621587. The cubic root of 274505472 is about 649.9056841457.

The spelling of 274505472 in words is "two hundred seventy-four million, five hundred five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 283 288 384 421 566 576 768 842 849 1132 1152 1263 1684 1698 2264 2304 2526 2547 3368 3396 3789 4528 5052 5094 6736 6792 7578 9056 10104 10188 13472 13584 15156 18112 20208 20376 26944 27168 30312 36224 40416 40752 53888 54336 60624 72448 80832 81504 107776 108672 119143 121248 161664 163008 217344 238286 242496 323328 326016 357429 476572 484992 652032 714858 953144 969984 1072287 1429716 1906288 2144574 2859432 3812576 4289148 5718864 7625152 8578296 11437728 15250304 17156592 22875456 30500608 34313184 45750912 68626368 91501824 137252736 274505472