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8001474 = 23133607
BaseRepresentation
bin11110100001011111000010
3120001111221220
4132201133002
54022021344
6443255510
7125003625
oct36413702
916044856
108001474
114575698
12281a596
131872000
1410c3dbc
15a80c19
hex7a17c2

8001474 has 32 divisors (see below), whose sum is σ = 17364480. Its totient is φ = 2457936.

The previous prime is 8001359. The next prime is 8001491. The reversal of 8001474 is 4741008.

8001474 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12879 + ... + 13485.

It is an arithmetic number, because the mean of its divisors is an integer number (542640).

Almost surely, 28001474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8001474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8682240).

8001474 is an abundant number, since it is smaller than the sum of its proper divisors (9363006).

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

8001474 is a wasteful number, since it uses less digits than its factorization.

8001474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 8001474 is about 2828.6876815937. The cubic root of 8001474 is about 200.0122825790.

The spelling of 8001474 in words is "eight million, one thousand, four hundred seventy-four".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 607 1014 1214 1821 2197 3642 4394 6591 7891 13182 15782 23673 47346 102583 205166 307749 615498 1333579 2667158 4000737 8001474