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4411424320 = 26529475369
BaseRepresentation
bin1000001101111000…
…01111111001000000
3102101102212120111221
410012330033321000
533013311034240
62005424044424
7214214326252
oct40674177100
912342776457
104411424320
111964152426
12a31463714
13553c32c64
142dbc4dcd2
151ac443a4a
hex106f0fe40

4411424320 has 56 divisors (see below), whose sum is σ = 10866958200. Its totient is φ = 1703718912.

The previous prime is 4411424273. The next prime is 4411424323. The reversal of 4411424320 is 234241144.

It can be written as a sum of positive squares in 4 ways, for example, as 1663987264 + 2747437056 = 40792^2 + 52416^2 .

It is not an unprimeable number, because it can be changed into a prime (4411424323) 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, 228405 + ... + 246964.

It is an arithmetic number, because the mean of its divisors is an integer number (194052825).

Almost surely, 24411424320 is an apocalyptic number.

4411424320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4411424320 is an abundant number, since it is smaller than the sum of its proper divisors (6455533880).

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

4411424320 is a wasteful number, since it uses less digits than its factorization.

4411424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475415 (or 475405 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 4411424320 is about 66418.5540342456. The cubic root of 4411424320 is about 1640.0595258981.

Adding to 4411424320 its reverse (234241144), we get a palindrome (4645665464).

The spelling of 4411424320 in words is "four billion, four hundred eleven million, four hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 928 1160 1856 2320 4640 9280 475369 950738 1901476 2376845 3802952 4753690 7605904 9507380 13785701 15211808 19014760 27571402 30423616 38029520 55142804 68928505 76059040 110285608 137857010 152118080 220571216 275714020 441142432 551428040 882284864 1102856080 2205712160 4411424320