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8378272 = 257113331
BaseRepresentation
bin11111111101011110100000
3120202122211101
4133331132200
54121101042
6455324144
7131133310
oct37753640
916678741
108378272
1148027a1
122980654
131974676
141181440
15b076b7
hex7fd7a0

8378272 has 48 divisors (see below), whose sum is σ = 19075392. Its totient is φ = 3548160.

The previous prime is 8378261. The next prime is 8378273. The reversal of 8378272 is 2728738.

It is not an unprimeable number, because it can be changed into a prime (8378273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25147 + ... + 25477.

It is an arithmetic number, because the mean of its divisors is an integer number (397404).

Almost surely, 28378272 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 8378272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9537696).

8378272 is an abundant number, since it is smaller than the sum of its proper divisors (10697120).

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

8378272 is a wasteful number, since it uses less digits than its factorization.

8378272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 453 counting only the distinct ones).

The product of its digits is 37632, while the sum is 37.

The square root of 8378272 is about 2894.5244859907. The cubic root of 8378272 is about 203.1038481170.

The spelling of 8378272 in words is "eight million, three hundred seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 113 224 226 331 452 662 791 904 1324 1582 1808 2317 2648 3164 3616 4634 5296 6328 9268 10592 12656 18536 25312 37072 37403 74144 74806 149612 261821 299224 523642 598448 1047284 1196896 2094568 4189136 8378272