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4090608 = 243317557
BaseRepresentation
bin1111100110101011110000
321200211021000
433212223300
52021344413
6223402000
746524654
oct17465360
97624230
104090608
112344375
121453300
13b02ba2
14786a64
1555c073
hex3e6af0

4090608 has 80 divisors (see below), whose sum is σ = 12454560. Its totient is φ = 1281024.

The previous prime is 4090589. The next prime is 4090637. The reversal of 4090608 is 8060904.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7066 + ... + 7622.

It is an arithmetic number, because the mean of its divisors is an integer number (155682).

Almost surely, 24090608 is an apocalyptic number.

4090608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4090608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6227280).

4090608 is an abundant number, since it is smaller than the sum of its proper divisors (8363952).

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

4090608 is a wasteful number, since it uses less digits than its factorization.

4090608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4090608 is about 2022.5251543553. The cubic root of 4090608 is about 159.9297608366.

The spelling of 4090608 in words is "four million, ninety thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 557 612 816 918 1114 1224 1671 1836 2228 2448 3342 3672 4456 5013 6684 7344 8912 9469 10026 13368 15039 18938 20052 26736 28407 30078 37876 40104 56814 60156 75752 80208 85221 113628 120312 151504 170442 227256 240624 255663 340884 454512 511326 681768 1022652 1363536 2045304 4090608