Search a number
-
+
4274688 = 29311223
BaseRepresentation
bin10000010011101000000000
322001011202210
4100103220000
52043242223
6231342120
751222435
oct20235000
98034683
104274688
11245a700
121521940
13b68902
147d3b8c
15596893
hex413a00

4274688 has 120 divisors (see below), whose sum is σ = 13061664. Its totient is φ = 1239040.

The previous prime is 4274671. The next prime is 4274689. The reversal of 4274688 is 8864724.

It is a super-3 number, since 3×42746883 (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4274689) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185845 + ... + 185867.

Almost surely, 24274688 is an apocalyptic number.

4274688 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 4274688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6530832).

4274688 is an abundant number, since it is smaller than the sum of its proper divisors (8786976).

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

4274688 is a wasteful number, since it uses less digits than its factorization.

4274688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 39 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 4274688 is about 2067.5318619068. The cubic root of 4274688 is about 162.2936299405.

It can be divided in two parts, 427 and 4688, that added together give a palindrome (5115).

The spelling of 4274688 in words is "four million, two hundred seventy-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 121 128 132 138 176 184 192 242 253 256 264 276 352 363 368 384 484 506 512 528 552 704 726 736 759 768 968 1012 1056 1104 1408 1452 1472 1518 1536 1936 2024 2112 2208 2783 2816 2904 2944 3036 3872 4048 4224 4416 5566 5632 5808 5888 6072 7744 8096 8349 8448 8832 11132 11616 11776 12144 15488 16192 16698 16896 17664 22264 23232 24288 30976 32384 33396 35328 44528 46464 48576 61952 64768 66792 89056 92928 97152 129536 133584 178112 185856 194304 267168 356224 388608 534336 712448 1068672 1424896 2137344 4274688