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4296015872 = 22017241
BaseRepresentation
bin1000000000001000…
…00000000000000000
3102002101201012212222
410000010000000000
532244240001442
61550142310212
7211313350421
oct40004000000
912071635788
104296015872
111904a97345
129ba888368
13536055c35
142ca7ab648
151a22488d2
hex100100000

4296015872 has 84 divisors (see below), whose sum is σ = 9135189756. Its totient is φ = 2013265920.

The previous prime is 4296015853. The next prime is 4296015901. The reversal of 4296015872 is 2785106924.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3288334336 + 1007681536 = 57344^2 + 31744^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17825672 + ... + 17825912.

It is an arithmetic number, because the mean of its divisors is an integer number (108752259).

Almost surely, 24296015872 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 4296015872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4567594878).

4296015872 is an abundant number, since it is smaller than the sum of its proper divisors (4839173884).

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

4296015872 is an frugal number, since it uses more digits than its factorization.

4296015872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The square root of 4296015872 is about 65543.9995117783. Note that the first 3 decimals coincide. The cubic root of 4296015872 is about 1625.6309498726.

The spelling of 4296015872 in words is "four billion, two hundred ninety-six million, fifteen thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 241 256 272 482 512 544 964 1024 1088 1928 2048 2176 3856 4096 4097 4352 7712 8192 8194 8704 15424 16384 16388 17408 30848 32768 32776 34816 61696 65536 65552 69632 123392 131072 131104 139264 246784 262144 262208 278528 493568 524288 524416 557056 987136 1048576 1048832 1114112 1974272 2097664 2228224 3948544 4195328 4456448 7897088 8390656 8912896 15794176 16781312 17825792 31588352 33562624 63176704 67125248 126353408 134250496 252706816 268500992 537001984 1074003968 2148007936 4296015872