Search a number
-
+
4420656 = 2436379
BaseRepresentation
bin10000110111010000110000
322022121000000
4100313100300
52112430111
6234430000
752401132
oct20672060
98277000
104420656
11254a339
121592300
13bba196
14831052
155c4c56
hex437430

4420656 has 70 divisors (see below), whose sum is σ = 12875540. Its totient is φ = 1469664.

The previous prime is 4420639. The next prime is 4420667. The reversal of 4420656 is 6560244.

It is a happy number.

4420656 is a `hidden beast` number, since 4 + 4 + 2 + 0 + 656 = 666.

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

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 11475 + ... + 11853.

Almost surely, 24420656 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 4420656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6437770).

4420656 is an abundant number, since it is smaller than the sum of its proper divisors (8454884).

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

4420656 is an equidigital number, since it uses as much as digits as its factorization.

4420656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4420656 is about 2102.5356120646. The cubic root of 4420656 is about 164.1202766305.

The spelling of 4420656 in words is "four million, four hundred twenty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 379 432 486 648 729 758 972 1137 1296 1458 1516 1944 2274 2916 3032 3411 3888 4548 5832 6064 6822 9096 10233 11664 13644 18192 20466 27288 30699 40932 54576 61398 81864 92097 122796 163728 184194 245592 276291 368388 491184 552582 736776 1105164 1473552 2210328 4420656