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4298550432 = 2531131712841
BaseRepresentation
bin1000000000011011…
…01010110010100000
3102002120110222122120
410000031222302200
532300412103212
61550312504240
7211344035001
oct40015526240
912076428576
104298550432
111906468620
129bb6ab080
13536732787
142cac6b1a8
151a259988c
hex10036aca0

4298550432 has 96 divisors (see below), whose sum is σ = 12349278144. Its totient is φ = 1298380800.

The previous prime is 4298550409. The next prime is 4298550439. The reversal of 4298550432 is 2340558924.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4298550439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328332 + ... + 341172.

It is an arithmetic number, because the mean of its divisors is an integer number (128638314).

Almost surely, 24298550432 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 4298550432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6174639072).

4298550432 is an abundant number, since it is smaller than the sum of its proper divisors (8050727712).

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

4298550432 is a wasteful number, since it uses less digits than its factorization.

4298550432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13182 (or 13174 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 4298550432 is about 65563.3314589794. The cubic root of 4298550432 is about 1625.9505831701.

The spelling of 4298550432 in words is "four billion, two hundred ninety-eight million, five hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 317 352 528 634 951 1056 1268 1902 2536 3487 3804 5072 6974 7608 10144 10461 12841 13948 15216 20922 25682 27896 30432 38523 41844 51364 55792 77046 83688 102728 111584 141251 154092 167376 205456 282502 308184 334752 410912 423753 565004 616368 847506 1130008 1232736 1695012 2260016 3390024 4070597 4520032 6780048 8141194 12211791 13560096 16282388 24423582 32564776 44776567 48847164 65129552 89553134 97694328 130259104 134329701 179106268 195388656 268659402 358212536 390777312 537318804 716425072 1074637608 1432850144 2149275216 4298550432