Search a number
-
+
4122731032 = 23736612273
BaseRepresentation
bin1111010110111011…
…1110001000011000
3101122022122102202221
43311232332020120
531420404343112
61521032233424
7204110431000
oct36556761030
911568572687
104122731032
1118261a0932
1297083b874
13509193724
142b1781000
15191e19e07
hexf5bbe218

4122731032 has 64 divisors (see below), whose sum is σ = 9032328000. Its totient is φ = 1763435520.

The previous prime is 4122731029. The next prime is 4122731189. The reversal of 4122731032 is 2301372214.

It is a happy number.

It is a super-2 number, since 2×41227310322 = 33993822324431570048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4122730988 and 4122731006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1812648 + ... + 1814920.

It is an arithmetic number, because the mean of its divisors is an integer number (141130125).

Almost surely, 24122731032 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 4122731032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4516164000).

4122731032 is an abundant number, since it is smaller than the sum of its proper divisors (4909596968).

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

4122731032 is a wasteful number, since it uses less digits than its factorization.

4122731032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2961 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 4122731032 is about 64208.4965717155. The cubic root of 4122731032 is about 1603.4730588342.

The spelling of 4122731032 in words is "four billion, one hundred twenty-two million, seven hundred thirty-one thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 661 686 1322 1372 2273 2644 2744 4546 4627 5288 9092 9254 15911 18184 18508 31822 32389 37016 63644 64778 111377 127288 129556 222754 226723 259112 445508 453446 779639 891016 906892 1502453 1559278 1813784 3004906 3118556 6009812 6237112 10517171 12019624 21034342 42068684 73620197 84137368 147240394 294480788 515341379 588961576 1030682758 2061365516 4122731032