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2432112256 = 2772894357
BaseRepresentation
bin1001000011110111…
…0001011010000000
320021111110002210201
42100331301122000
514440110043011
61041200334544
7114161420200
oct22075613200
96244402721
102432112256
111038955a32
1257a614454
132c9b501a2
1419101c400
15e37bacc1
hex90f71680

2432112256 has 96 divisors (see below), whose sum is σ = 5700917700. Its totient is φ = 1030385664.

The previous prime is 2432112239. The next prime is 2432112257. The reversal of 2432112256 is 6522112342.

It can be written as a sum of positive squares in 2 ways, for example, as 2324782656 + 107329600 = 48216^2 + 10360^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2432112257) 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, 556030 + ... + 560386.

Almost surely, 22432112256 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 2432112256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850458850).

2432112256 is an abundant number, since it is smaller than the sum of its proper divisors (3268805444).

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

2432112256 is an equidigital number, since it uses as much as digits as its factorization.

2432112256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4474 (or 4455 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 2432112256 is about 49316.4501561092. The cubic root of 2432112256 is about 1344.8108532955.

Adding to 2432112256 its reverse (6522112342), we get a palindrome (8954224598).

The spelling of 2432112256 in words is "two billion, four hundred thirty-two million, one hundred twelve thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 89 98 112 128 178 196 224 356 392 448 623 712 784 896 1246 1424 1568 2492 2848 3136 4357 4361 4984 5696 6272 8714 8722 9968 11392 17428 17444 19936 30499 34856 34888 39872 60998 69712 69776 79744 121996 139424 139552 213493 243992 278848 279104 387773 426986 487984 557696 558208 775546 853972 975968 1551092 1707944 1951936 2714411 3102184 3415888 3903872 5428822 6204368 6831776 10857644 12408736 13663552 19000877 21715288 24817472 27327104 38001754 43430576 49634944 76003508 86861152 152007016 173722304 304014032 347444608 608028064 1216056128 2432112256