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4072704 = 2835303
BaseRepresentation
bin1111100010010100000000
321122220200220
433202110000
52020311304
6223143040
746421526
oct17422400
97586626
104072704
112331979
121444a80
13ac79ac
14780316
15556ad9
hex3e2500

4072704 has 36 divisors (see below), whose sum is σ = 10841376. Its totient is φ = 1357312.

The previous prime is 4072699. The next prime is 4072709.

4072704 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4072699) and next prime (4072709).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4072709) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1884 + ... + 3419.

Almost surely, 24072704 is an apocalyptic number.

It is an amenable number.

4072704 is an abundant number, since it is smaller than the sum of its proper divisors (6768672).

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

4072704 is an equidigital number, since it uses as much as digits as its factorization.

4072704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5322 (or 5308 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 4072704 is about 2018.0941504301. The cubic root of 4072704 is about 159.6960897732.

The spelling of 4072704 in words is "four million, seventy-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 5303 10606 15909 21212 31818 42424 63636 84848 127272 169696 254544 339392 509088 678784 1018176 1357568 2036352 4072704