Search a number
-
+
874076544 = 273211232999
BaseRepresentation
bin110100000110010…
…101100110000000
32020220201200121100
4310012111212000
53242230422134
6222422254400
730442346055
oct6406254600
92226650540
10874076544
11409436710
12204887400
1310c11b073
148412d02c
1551b0a999
hex34195980

874076544 has 192 divisors, whose sum is σ = 2864160000. Its totient is φ = 253271040.

The previous prime is 874076519. The next prime is 874076549. The reversal of 874076544 is 445670478.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 874076544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (874076549) 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 23 ways as a sum of consecutive naturals, for example, 289957 + ... + 292955.

It is an arithmetic number, because the mean of its divisors is an integer number (14917500).

Almost surely, 2874076544 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 874076544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432080000).

874076544 is an abundant number, since it is smaller than the sum of its proper divisors (1990083456).

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

874076544 is a wasteful number, since it uses less digits than its factorization.

874076544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3053 (or 3038 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 874076544 is about 29564.7855395570. The cubic root of 874076544 is about 956.1289952743.

The spelling of 874076544 in words is "eight hundred seventy-four million, seventy-six thousand, five hundred forty-four".