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4274208 = 25341797
BaseRepresentation
bin10000010011100000100000
322001011010000
4100103200200
52043233313
6231340000
751221151
oct20234040
98034100
104274208
11245a304
121521600
13b68623
147d3928
15596673
hex413820

4274208 has 120 divisors (see below), whose sum is σ = 13446972. Its totient is φ = 1327104.

The previous prime is 4274201. The next prime is 4274213. The reversal of 4274208 is 8024724.

It can be written as a sum of positive squares in 2 ways, for example, as 4210704 + 63504 = 2052^2 + 252^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4274201) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44016 + ... + 44112.

Almost surely, 24274208 is an apocalyptic number.

4274208 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 4274208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6723486).

4274208 is an abundant number, since it is smaller than the sum of its proper divisors (9172764).

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

4274208 is a wasteful number, since it uses less digits than its factorization.

4274208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4274208 is about 2067.4157782120. The cubic root of 4274208 is about 162.2875551222.

The spelling of 4274208 in words is "four million, two hundred seventy-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 97 102 108 136 144 153 162 194 204 216 272 288 291 306 324 388 408 432 459 544 582 612 648 776 816 864 873 918 1164 1224 1296 1377 1552 1632 1649 1746 1836 2328 2448 2592 2619 2754 3104 3298 3492 3672 4656 4896 4947 5238 5508 6596 6984 7344 7857 9312 9894 10476 11016 13192 13968 14688 14841 15714 19788 20952 22032 26384 27936 29682 31428 39576 41904 44064 44523 52768 59364 62856 79152 83808 89046 118728 125712 133569 158304 178092 237456 251424 267138 356184 474912 534276 712368 1068552 1424736 2137104 4274208