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4450493088 = 2532101153001
BaseRepresentation
bin1000010010100010…
…10010001010100000
3102111011101110210100
410021101102022200
533103311234323
62013341302400
7215200365336
oct41121221240
912434343710
104450493088
111984207368
12a42564a00
1355c061982
143030ddb56
151b0aae943
hex1094522a0

4450493088 has 72 divisors (see below), whose sum is σ = 12781481076. Its totient is φ = 1468800000.

The previous prime is 4450493059. The next prime is 4450493093. The reversal of 4450493088 is 8803940544.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4449957264 + 535824 = 66708^2 + 732^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47413 + ... + 105588.

Almost surely, 24450493088 is an apocalyptic number.

4450493088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4450493088 is an abundant number, since it is smaller than the sum of its proper divisors (8330987988).

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

4450493088 is a wasteful number, since it uses less digits than its factorization.

4450493088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153118 (or 153107 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4450493088 is about 66712.0160690711. The cubic root of 4450493088 is about 1644.8869066721.

The spelling of 4450493088 in words is "four billion, four hundred fifty million, four hundred ninety-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 101 144 202 288 303 404 606 808 909 1212 1616 1818 2424 3232 3636 4848 7272 9696 14544 29088 153001 306002 459003 612004 918006 1224008 1377009 1836012 2448016 2754018 3672024 4896032 5508036 7344048 11016072 14688096 15453101 22032144 30906202 44064288 46359303 61812404 92718606 123624808 139077909 185437212 247249616 278155818 370874424 494499232 556311636 741748848 1112623272 1483497696 2225246544 4450493088