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73808112 = 243734483
BaseRepresentation
bin1000110011000…
…11100011110000
312010212211200210
410121203203300
5122343324422
611153544120
71554234000
oct431434360
9163784623
1073808112
1138732144
1220875040
13123a2c51
149b34000
15672e10c
hex46638f0

73808112 has 80 divisors (see below), whose sum is σ = 222406400. Its totient is φ = 21083328.

The previous prime is 73808099. The next prime is 73808113. The reversal of 73808112 is 21180837.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 73808112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73808113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14223 + ... + 18705.

It is an arithmetic number, because the mean of its divisors is an integer number (2780080).

Almost surely, 273808112 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 73808112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111203200).

73808112 is an abundant number, since it is smaller than the sum of its proper divisors (148598288).

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

73808112 is a wasteful number, since it uses less digits than its factorization.

73808112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4515 (or 4495 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 73808112 is about 8591.1647638722. The cubic root of 73808112 is about 419.4704437016.

Adding to 73808112 its reverse (21180837), we get a palindrome (94988949).

It can be divided in two parts, 73808 and 112, that added together give a triangular number (73920 = T384).

The spelling of 73808112 in words is "seventy-three million, eight hundred eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 1029 1176 1372 2058 2352 2744 4116 4483 5488 8232 8966 13449 16464 17932 26898 31381 35864 53796 62762 71728 94143 107592 125524 188286 215184 219667 251048 376572 439334 502096 659001 753144 878668 1318002 1506288 1537669 1757336 2636004 3075338 3514672 4613007 5272008 6150676 9226014 10544016 12301352 18452028 24602704 36904056 73808112