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4472362496 = 2972892003
BaseRepresentation
bin1000010101001001…
…01101011000000000
3102112200112112222102
410022210231120000
533124411044441
62015442125532
7215554311500
oct41244553000
912480475872
104472362496
111995594158
12a499508a8
1356374ac54
14305d93a00
151b297e69b
hex10a92d600

4472362496 has 120 divisors (see below), whose sum is σ = 10516971960. Its totient is φ = 1894244352.

The previous prime is 4472362487. The next prime is 4472362523. The reversal of 4472362496 is 6942632744.

It is a self number, because there is not a number n which added to its sum of digits gives 4472362496.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2231831 + ... + 2233833.

It is an arithmetic number, because the mean of its divisors is an integer number (87641433).

Almost surely, 24472362496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4472362496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5258485980).

4472362496 is an abundant number, since it is smaller than the sum of its proper divisors (6044609464).

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

4472362496 is an equidigital number, since it uses as much as digits as its factorization.

4472362496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2101 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 47.

The square root of 4472362496 is about 66875.7242652369. The cubic root of 4472362496 is about 1647.5767914450.

The spelling of 4472362496 in words is "four billion, four hundred seventy-two million, three hundred sixty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 89 98 112 128 178 196 224 256 356 392 448 512 623 712 784 896 1246 1424 1568 1792 2003 2492 2848 3136 3584 4006 4361 4984 5696 6272 8012 8722 9968 11392 12544 14021 16024 17444 19936 22784 25088 28042 32048 34888 39872 45568 56084 64096 69776 79744 98147 112168 128192 139552 159488 178267 196294 224336 256384 279104 318976 356534 392588 448672 512768 558208 713068 785176 897344 1025536 1116416 1247869 1426136 1570352 1794688 2232832 2495738 2852272 3140704 3589376 4991476 5704544 6281408 7178752 8735083 9982952 11409088 12562816 17470166 19965904 22818176 25125632 34940332 39931808 45636352 50251264 69880664 79863616 91272704 139761328 159727232 279522656 319454464 559045312 638908928 1118090624 2236181248 4472362496