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4132003056 = 2432916318211
BaseRepresentation
bin1111011001001001…
…0101110011110000
3101122222002111121020
43312102111303300
531430243044211
61522003055440
7204252306066
oct36622256360
911588074536
104132003056
111830454065
12973971580
1350b08bb2c
142b2ab6036
15192b4c306
hexf6495cf0

4132003056 has 80 divisors (see below), whose sum is σ = 11110776960. Its totient is φ = 1321608960.

The previous prime is 4132003037. The next prime is 4132003063. The reversal of 4132003056 is 6503002314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217791 + ... + 236001.

It is an arithmetic number, because the mean of its divisors is an integer number (138884712).

Almost surely, 24132003056 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 4132003056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5555388480).

4132003056 is an abundant number, since it is smaller than the sum of its proper divisors (6978773904).

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

4132003056 is a wasteful number, since it uses less digits than its factorization.

4132003056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18414 (or 18408 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 4132003056 is about 64280.6584907155. The cubic root of 4132003056 is about 1604.6742293567.

The spelling of 4132003056 in words is "four billion, one hundred thirty-two million, three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 163 174 232 326 348 464 489 652 696 978 1304 1392 1956 2608 3912 4727 7824 9454 14181 18211 18908 28362 36422 37816 54633 56724 72844 75632 109266 113448 145688 218532 226896 291376 437064 528119 874128 1056238 1584357 2112476 2968393 3168714 4224952 5936786 6337428 8449904 8905179 11873572 12674856 17810358 23747144 25349712 35620716 47494288 71241432 86083397 142482864 172166794 258250191 344333588 516500382 688667176 1033000764 1377334352 2066001528 4132003056