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3816072 = 233513151
BaseRepresentation
bin1110100011101010001000
321011212200000
432203222020
51434103242
6213443000
744302401
oct16435210
97155600
103816072
112177087
121340460
13a37c40
147149a8
15505a4c
hex3a3a88

3816072 has 96 divisors (see below), whose sum is σ = 11618880. Its totient is φ = 1166400.

The previous prime is 3816067. The next prime is 3816073. The reversal of 3816072 is 2706183.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3816073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25197 + ... + 25347.

It is an arithmetic number, because the mean of its divisors is an integer number (121030).

Almost surely, 23816072 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 3816072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5809440).

3816072 is an abundant number, since it is smaller than the sum of its proper divisors (7802808).

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

3816072 is a wasteful number, since it uses less digits than its factorization.

3816072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 3816072 is about 1953.4769002985. The cubic root of 3816072 is about 156.2687674524.

It can be divided in two parts, 38 and 16072, that added together give a triangular number (16110 = T179).

The spelling of 3816072 in words is "three million, eight hundred sixteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 151 156 162 216 234 243 302 312 324 351 453 468 486 604 648 702 906 936 972 1053 1208 1359 1404 1812 1944 1963 2106 2718 2808 3159 3624 3926 4077 4212 5436 5889 6318 7852 8154 8424 10872 11778 12231 12636 15704 16308 17667 23556 24462 25272 32616 35334 36693 47112 48924 53001 70668 73386 97848 106002 141336 146772 159003 212004 293544 318006 424008 477009 636012 954018 1272024 1908036 3816072