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8468712 = 233471867
BaseRepresentation
bin100000010011…
…100011101000
3120221020220000
4200103203220
54131444322
6501303000
7131661060
oct40234350
916836800
108468712
11486473a
122a04a60
1319a6895
1411a63a0
15b243ac
hex8138e8

8468712 has 80 divisors (see below), whose sum is σ = 27123360. Its totient is φ = 2418336.

The previous prime is 8468693. The next prime is 8468717. The reversal of 8468712 is 2178648.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8468717) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3603 + ... + 5469.

It is an arithmetic number, because the mean of its divisors is an integer number (339042).

Almost surely, 28468712 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 8468712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13561680).

8468712 is an abundant number, since it is smaller than the sum of its proper divisors (18654648).

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

8468712 is a wasteful number, since it uses less digits than its factorization.

8468712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1879 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 8468712 is about 2910.1051527393. The cubic root of 8468712 is about 203.8320416845.

Subtracting from 8468712 its reverse (2178648), we obtain a square (6290064 = 25082).

It can be divided in two parts, 8468 and 712, that added together give a triangular number (9180 = T135).

The spelling of 8468712 in words is "eight million, four hundred sixty-eight thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 1867 2268 3734 4536 5601 7468 11202 13069 14936 16803 22404 26138 33606 39207 44808 50409 52276 67212 78414 100818 104552 117621 134424 151227 156828 201636 235242 302454 313656 352863 403272 470484 604908 705726 940968 1058589 1209816 1411452 2117178 2822904 4234356 8468712