Search a number
-
+
4426488 = 23371123
BaseRepresentation
bin10000111000101011111000
322022220000000
4100320223320
52113121423
6234513000
752424133
oct20705370
98286000
104426488
112553760
121595760
13bbca31
1483321a
155c6843
hex438af8

4426488 has 128 divisors (see below), whose sum is σ = 14169600. Its totient is φ = 1283040.

The previous prime is 4426481. The next prime is 4426493. The reversal of 4426488 is 8846244.

4426488 is a `hidden beast` number, since 4 + 4 + 2 + 648 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4426481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192445 + ... + 192467.

It is an arithmetic number, because the mean of its divisors is an integer number (110700).

Almost surely, 24426488 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 4426488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7084800).

4426488 is an abundant number, since it is smaller than the sum of its proper divisors (9743112).

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

4426488 is a wasteful number, since it uses less digits than its factorization.

4426488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 39 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 4426488 is about 2103.9220517880. The cubic root of 4426488 is about 164.1924174207.

The spelling of 4426488 in words is "four million, four hundred twenty-six thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 27 33 36 44 46 54 66 69 72 81 88 92 99 108 132 138 162 184 198 207 216 243 253 264 276 297 324 396 414 486 506 552 594 621 648 729 759 792 828 891 972 1012 1188 1242 1458 1518 1656 1782 1863 1944 2024 2187 2277 2376 2484 2673 2916 3036 3564 3726 4374 4554 4968 5346 5589 5832 6072 6831 7128 7452 8019 8748 9108 10692 11178 13662 14904 16038 16767 17496 18216 20493 21384 22356 24057 27324 32076 33534 40986 44712 48114 50301 54648 61479 64152 67068 81972 96228 100602 122958 134136 163944 184437 192456 201204 245916 368874 402408 491832 553311 737748 1106622 1475496 2213244 4426488