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4411384272 = 2432101303313
BaseRepresentation
bin1000001101111000…
…00110000111010000
3102101102210112120200
410012330012013100
533013303244042
62005423135200
7214214101431
oct40674060720
912342715520
104411384272
111964125329
12a31444500
13553c1a969
142dbc3d488
151ac436c4c
hex106f061d0

4411384272 has 60 divisors (see below), whose sum is σ = 12468025284. Its totient is φ = 1455897600.

The previous prime is 4411384207. The next prime is 4411384277. The reversal of 4411384272 is 2724831144.

4411384272 is a `hidden beast` number, since 4 + 4 + 1 + 1 + 384 + 272 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4103171136 + 308213136 = 64056^2 + 17556^2 .

It is a super-2 number, since 2×44113842722 = 38920622390497939968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4411384277) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 137113 + ... + 166200.

Almost surely, 24411384272 is an apocalyptic number.

It is an amenable number.

4411384272 is an abundant number, since it is smaller than the sum of its proper divisors (8056641012).

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

4411384272 is a wasteful number, since it uses less digits than its factorization.

4411384272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303428 (or 303419 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 4411384272 is about 66418.2525515389. The cubic root of 4411384272 is about 1640.0545629279.

The spelling of 4411384272 in words is "four billion, four hundred eleven million, three hundred eighty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 606 808 909 1212 1616 1818 2424 3636 4848 7272 14544 303313 606626 909939 1213252 1819878 2426504 2729817 3639756 4853008 5459634 7279512 10919268 14559024 21838536 30634613 43677072 61269226 91903839 122538452 183807678 245076904 275711517 367615356 490153808 551423034 735230712 1102846068 1470461424 2205692136 4411384272