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4082272 = 25295383
BaseRepresentation
bin1111100100101001100000
321200101211021
433210221200
52021113042
6223255224
746461445
oct17445140
97611737
104082272
112339087
12144a514
13acc15c
147839cc
15559867
hex3e4a60

4082272 has 48 divisors (see below), whose sum is σ = 8573040. Its totient is φ = 1910272.

The previous prime is 4082257. The next prime is 4082311. The reversal of 4082272 is 2722804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49143 + ... + 49225.

It is an arithmetic number, because the mean of its divisors is an integer number (178605).

Almost surely, 24082272 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 4082272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286520).

4082272 is an abundant number, since it is smaller than the sum of its proper divisors (4490768).

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

4082272 is a wasteful number, since it uses less digits than its factorization.

4082272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 4082272 is about 2020.4633132032. The cubic root of 4082272 is about 159.8210499301.

The spelling of 4082272 in words is "four million, eighty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 29 32 53 58 83 106 116 166 212 232 332 424 464 664 848 928 1328 1537 1696 2407 2656 3074 4399 4814 6148 8798 9628 12296 17596 19256 24592 35192 38512 49184 70384 77024 127571 140768 255142 510284 1020568 2041136 4082272