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8472096 = 2532231279
BaseRepresentation
bin100000010100…
…011000100000
3120221102112100
4200110120200
54132101341
6501330400
7132003663
oct40243040
916842470
108472096
114867236
122a06a00
1319a8299
1411a76da
15b253b6
hex814620

8472096 has 72 divisors (see below), whose sum is σ = 25159680. Its totient is φ = 2699136.

The previous prime is 8472053. The next prime is 8472109. The reversal of 8472096 is 6902748.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 8472096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5985 + ... + 7263.

It is an arithmetic number, because the mean of its divisors is an integer number (349440).

Almost surely, 28472096 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 8472096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12579840).

8472096 is an abundant number, since it is smaller than the sum of its proper divisors (16687584).

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

8472096 is a wasteful number, since it uses less digits than its factorization.

8472096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 8472096 is about 2910.6865169578. The cubic root of 8472096 is about 203.8591877162.

The spelling of 8472096 in words is "eight million, four hundred seventy-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1279 1656 2208 2558 3312 3837 5116 6624 7674 10232 11511 15348 20464 23022 29417 30696 40928 46044 58834 61392 88251 92088 117668 122784 176502 184176 235336 264753 353004 368352 470672 529506 706008 941344 1059012 1412016 2118024 2824032 4236048 8472096