[go: up one dir, main page]

Search a number
-
+
440140448 = 25111379127
BaseRepresentation
bin11010001111000…
…000001010100000
31010200012110012002
4122033000022200
51400133443243
6111401423132
713623063206
oct3217001240
91120173162
10440140448
112064a2040
1210349aaa8
1370257047
1442653076
1528991eb8
hex1a3c02a0

440140448 has 48 divisors (see below), whose sum is σ = 952305984. Its totient is φ = 198581760.

The previous prime is 440140447. The next prime is 440140483. The reversal of 440140448 is 844041044.

It is a super-2 number, since 2×4401404482 = 387447227931281408, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 440140448.

It is not an unprimeable number, because it can be changed into a prime (440140447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43661 + ... + 52787.

It is an arithmetic number, because the mean of its divisors is an integer number (19839708).

Almost surely, 2440140448 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 440140448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476152992).

440140448 is an abundant number, since it is smaller than the sum of its proper divisors (512165536).

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

440140448 is a wasteful number, since it uses less digits than its factorization.

440140448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9285 (or 9277 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

The square root of 440140448 is about 20979.5244941348. The cubic root of 440140448 is about 760.6714103716.

The spelling of 440140448 in words is "four hundred forty million, one hundred forty thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 137 176 274 352 548 1096 1507 2192 3014 4384 6028 9127 12056 18254 24112 36508 48224 73016 100397 146032 200794 292064 401588 803176 1250399 1606352 2500798 3212704 5001596 10003192 13754389 20006384 27508778 40012768 55017556 110035112 220070224 440140448