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4744116 = 22331331109
BaseRepresentation
bin10010000110001110110100
322221000201000
4102012032310
52203302431
6245403300
755216146
oct22061664
98830630
104744116
112750363
121709530
13ca1490
148b6c96
1563a9e6
hex4863b4

4744116 has 96 divisors (see below), whose sum is σ = 13798400. Its totient is φ = 1399680.

The previous prime is 4744111. The next prime is 4744127. The reversal of 4744116 is 6114474.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4744116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4744111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43470 + ... + 43578.

Almost surely, 24744116 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 4744116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6899200).

4744116 is an abundant number, since it is smaller than the sum of its proper divisors (9054284).

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

4744116 is a wasteful number, since it uses less digits than its factorization.

4744116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 158 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 4744116 is about 2178.0991712959. The cubic root of 4744116 is about 168.0293316133.

The spelling of 4744116 in words is "four million, seven hundred forty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 93 108 109 117 124 156 186 218 234 279 327 351 372 403 436 468 558 654 702 806 837 981 1116 1209 1308 1404 1417 1612 1674 1962 2418 2834 2943 3348 3379 3627 3924 4251 4836 5668 5886 6758 7254 8502 10137 10881 11772 12753 13516 14508 17004 20274 21762 25506 30411 38259 40548 43524 43927 51012 60822 76518 87854 91233 121644 131781 153036 175708 182466 263562 364932 395343 527124 790686 1186029 1581372 2372058 4744116