Search a number
-
+
881555040 = 253252343619
BaseRepresentation
bin110100100010110…
…111011001100000
32021102210122011200
4310202313121200
53301134230130
6223250441200
730563044212
oct6442673140
92242718150
10881555040
11412684393
12207293200
13110839002
14851185b2
15525d6760
hex348b7660

881555040 has 288 divisors, whose sum is σ = 3217294080. Its totient is φ = 219276288.

The previous prime is 881555039. The next prime is 881555071. The reversal of 881555040 is 40555188.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 881554986 and 881555004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1423851 + ... + 1424469.

It is an arithmetic number, because the mean of its divisors is an integer number (11171160).

Almost surely, 2881555040 is an apocalyptic number.

881555040 is a gapful number since it is divisible by the number (80) 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 881555040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608647040).

881555040 is an abundant number, since it is smaller than the sum of its proper divisors (2335739040).

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

881555040 is a wasteful number, since it uses less digits than its factorization.

881555040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 881555040 is about 29690.9925735062. The cubic root of 881555040 is about 958.8480975536.

The spelling of 881555040 in words is "eight hundred eighty-one million, five hundred fifty-five thousand, forty".