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4263545328 = 243717223283
BaseRepresentation
bin1111111000100000…
…1000100111110000
3102000010121112200020
43332020020213300
532212431422303
61543022323440
7210440352210
oct37610104760
912003545606
104263545328
111898729789
129aba29580
1352c3c75b3
142c6358240
1519e482a53
hexfe2089f0

4263545328 has 360 divisors, whose sum is σ = 14146677888. Its totient is φ = 1083439104.

The previous prime is 4263545323. The next prime is 4263545329. The reversal of 4263545328 is 8235453624.

It is a happy number.

It is a super-3 number, since 3×42635453283 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (691200) is a multiple of the sum of its prime divisors (135).

It is a self number, because there is not a number n which added to its sum of digits gives 4263545328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4263545323) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51367975 + ... + 51368057.

Almost surely, 24263545328 is an apocalyptic number.

4263545328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4263545328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7073338944).

4263545328 is an abundant number, since it is smaller than the sum of its proper divisors (9883132560).

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

4263545328 is a wasteful number, since it uses less digits than its factorization.

4263545328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 135 counting only the distinct ones).

The product of its digits is 691200, while the sum is 42.

The square root of 4263545328 is about 65295.8293308233. The cubic root of 4263545328 is about 1621.5249229105.

The spelling of 4263545328 in words is "four billion, two hundred sixty-three million, five hundred forty-five thousand, three hundred twenty-eight".