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4495279248 = 243331335669
BaseRepresentation
bin1000010111111000…
…01000010010010000
3102121021122211212000
410023330020102100
533201242413443
62022021234000
7216253146255
oct41374102220
912537584760
104495279248
1119a7516919
12a55562900
13568412b65
1430903b42c
151b49a98d3
hex10bf08490

4495279248 has 80 divisors (see below), whose sum is σ = 13319385600. Its totient is φ = 1450085760.

The previous prime is 4495279231. The next prime is 4495279249. The reversal of 4495279248 is 8429725944.

It is a happy number.

4495279248 is a `hidden beast` number, since 4 + 495 + 27 + 92 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4495279194 and 4495279203.

It is not an unprimeable number, because it can be changed into a prime (4495279249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154443 + ... + 181226.

It is an arithmetic number, because the mean of its divisors is an integer number (166492320).

Almost surely, 24495279248 is an apocalyptic number.

4495279248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4495279248 is an abundant number, since it is smaller than the sum of its proper divisors (8824106352).

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

4495279248 is a wasteful number, since it uses less digits than its factorization.

4495279248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335717 (or 335705 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 4495279248 is about 67046.8436840990. The cubic root of 4495279248 is about 1650.3861046847.

The spelling of 4495279248 in words is "four billion, four hundred ninety-five million, two hundred seventy-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 3348 4464 6696 13392 335669 671338 1007007 1342676 2014014 2685352 3021021 4028028 5370704 6042042 8056056 9063063 10405739 12084084 16112112 18126126 20811478 24168168 31217217 36252252 41622956 48336336 62434434 72504504 83245912 93651651 124868868 145009008 166491824 187303302 249737736 280954953 374606604 499475472 561909906 749213208 1123819812 1498426416 2247639624 4495279248