Search a number
-
+
752263038 = 23433114029
BaseRepresentation
bin101100110101101…
…001111101111110
31221102111220220000
4230311221331332
53020034404123
6202351335130
724433062462
oct5465517576
91842456800
10752263038
113566a639a
1218bb214a6
13bcb0a877
1471ca04a2
1546097b43
hex2cd69f7e

752263038 has 40 divisors (see below), whose sum is σ = 1690839480. Its totient is φ = 249978960.

The previous prime is 752263013. The next prime is 752263051. The reversal of 752263038 is 830362257.

It is a junction number, because it is equal to n+sod(n) for n = 752262993 and 752263011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46608 + ... + 60636.

It is an arithmetic number, because the mean of its divisors is an integer number (42270987).

Almost surely, 2752263038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 752263038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845419740).

752263038 is an abundant number, since it is smaller than the sum of its proper divisors (938576442).

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

752263038 is a wasteful number, since it uses less digits than its factorization.

752263038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14374 (or 14365 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 752263038 is about 27427.4139867396. The cubic root of 752263038 is about 909.4732039338.

The spelling of 752263038 in words is "seven hundred fifty-two million, two hundred sixty-three thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 331 662 993 1986 2979 5958 8937 14029 17874 26811 28058 42087 53622 84174 126261 252522 378783 757566 1136349 2272698 4643599 9287198 13930797 27861594 41792391 83584782 125377173 250754346 376131519 752263038