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4424011400 = 235222120057
BaseRepresentation
bin1000001111011000…
…10000111010001000
3102102022120001202002
410013230100322020
533030021331100
62010553530132
7214426322264
oct40754207210
912368501662
104424011400
11197026a276
12a35713948
1355671c233
142dd7a90a4
151ad5cd2d5
hex107b10e88

4424011400 has 24 divisors (see below), whose sum is σ = 10285826970. Its totient is φ = 1769604480.

The previous prime is 4424011381. The next prime is 4424011411. The reversal of 4424011400 is 41104244.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2625742564 + 1798268836 = 51242^2 + 42406^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11059829 + ... + 11060228.

Almost surely, 24424011400 is an apocalyptic number.

4424011400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4424011400 is an abundant number, since it is smaller than the sum of its proper divisors (5861815570).

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

4424011400 is a wasteful number, since it uses less digits than its factorization.

4424011400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22120073 (or 22120064 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4424011400 is about 66513.2422905394. The cubic root of 4424011400 is about 1641.6179006990.

Adding to 4424011400 its reverse (41104244), we get a palindrome (4465115644).

The spelling of 4424011400 in words is "four billion, four hundred twenty-four million, eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 22120057 44240114 88480228 110600285 176960456 221200570 442401140 553001425 884802280 1106002850 2212005700 4424011400