Search a number
-
+
3505056 = 253291259
BaseRepresentation
bin1101010111101110100000
320121002000220
431113232200
51344130211
6203043040
741535552
oct15275640
96532026
103505056
111a84445
121210480
139594c9
146734d2
15493806
hex357ba0

3505056 has 48 divisors (see below), whose sum is σ = 9525600. Its totient is φ = 1127168.

The previous prime is 3505031. The next prime is 3505067. The reversal of 3505056 is 6505053.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2155 + ... + 3413.

It is an arithmetic number, because the mean of its divisors is an integer number (198450).

Almost surely, 23505056 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 3505056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4762800).

3505056 is an abundant number, since it is smaller than the sum of its proper divisors (6020544).

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

3505056 is a wasteful number, since it uses less digits than its factorization.

3505056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 3505056 is about 1872.1794785757. The cubic root of 3505056 is about 151.9025229125.

The spelling of 3505056 in words is "three million, five hundred five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1259 1392 2518 2784 3777 5036 7554 10072 15108 20144 30216 36511 40288 60432 73022 109533 120864 146044 219066 292088 438132 584176 876264 1168352 1752528 3505056