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4297883648 = 215314231
BaseRepresentation
bin1000000000010110…
…01000000000000000
3102002112020002222212
410000023020000000
532300224234043
61550250321252
7211335260012
oct40013100000
912075202885
104297883648
111906052663
129bb429228
1353655b126
142cab361b2
151a24b7018
hex1002c8000

4297883648 has 64 divisors (see below), whose sum is σ = 8875011840. Its totient is φ = 2079129600.

The previous prime is 4297883641. The next prime is 4297883699. The reversal of 4297883648 is 8463887924.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×42978836483 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4297883641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1013693 + ... + 1017923.

It is an arithmetic number, because the mean of its divisors is an integer number (138672060).

Almost surely, 24297883648 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 4297883648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4437505920).

4297883648 is an abundant number, since it is smaller than the sum of its proper divisors (4577128192).

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

4297883648 is an frugal number, since it uses more digits than its factorization.

4297883648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4292 (or 4264 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 59.

The square root of 4297883648 is about 65558.2462242547. The cubic root of 4297883648 is about 1625.8665072385.

The spelling of 4297883648 in words is "four billion, two hundred ninety-seven million, eight hundred eighty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1024 1984 2048 3968 4096 4231 7936 8192 8462 15872 16384 16924 31744 32768 33848 63488 67696 126976 131161 135392 253952 262322 270784 507904 524644 541568 1015808 1049288 1083136 2098576 2166272 4197152 4332544 8394304 8665088 16788608 17330176 33577216 34660352 67154432 69320704 134308864 138641408 268617728 537235456 1074470912 2148941824 4297883648