Search a number
-
+
445602048 = 2832712141
BaseRepresentation
bin11010100011110…
…101100100000000
31011001110221002120
4122203311210000
51403033231143
6112114444240
714020361223
oct3243654400
91131427076
10445602048
11209592461
12105293680
1371419c68
14432755ba
15291c0383
hex1a8f5900

445602048 has 72 divisors (see below), whose sum is σ = 1190883456. Its totient is φ = 147916800.

The previous prime is 445602037. The next prime is 445602089. The reversal of 445602048 is 840206544.

It is a super-2 number, since 2×4456020482 = 397122370363588608, which contains 22 as substring.

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, 207058 + ... + 209198.

It is an arithmetic number, because the mean of its divisors is an integer number (16540048).

Almost surely, 2445602048 is an apocalyptic number.

445602048 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 445602048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595441728).

445602048 is an abundant number, since it is smaller than the sum of its proper divisors (745281408).

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

445602048 is a wasteful number, since it uses less digits than its factorization.

445602048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 445602048 is about 21109.2881926416. The cubic root of 445602048 is about 763.8048165998.

The spelling of 445602048 in words is "four hundred forty-five million, six hundred two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 271 384 542 768 813 1084 1626 2141 2168 3252 4282 4336 6423 6504 8564 8672 12846 13008 17128 17344 25692 26016 34256 34688 51384 52032 68512 69376 102768 104064 137024 205536 208128 274048 411072 548096 580211 822144 1160422 1644288 1740633 2320844 3481266 4641688 6962532 9283376 13925064 18566752 27850128 37133504 55700256 74267008 111400512 148534016 222801024 445602048