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874848 = 25313701
BaseRepresentation
bin11010101100101100000
31122110001210
43111211200
5210443343
630430120
710302402
oct3254540
91573053
10874848
11548317
12362340
13248280
1418ab72
15124333
hexd5960

874848 has 48 divisors (see below), whose sum is σ = 2476656. Its totient is φ = 268800.

The previous prime is 874847. The next prime is 874859. The reversal of 874848 is 848478.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (874847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 898 + ... + 1598.

It is an arithmetic number, because the mean of its divisors is an integer number (51597).

2874848 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 874848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238328).

874848 is an abundant number, since it is smaller than the sum of its proper divisors (1601808).

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

874848 is a wasteful number, since it uses less digits than its factorization.

874848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 719 counting only the distinct ones).

The product of its digits is 57344, while the sum is 39.

The square root of 874848 is about 935.3330957472. Note that the first 3 decimals coincide. The cubic root of 874848 is about 95.6410204267.

It can be divided in two parts, 8748 and 48, that multiplied together give a square (419904 = 6482).

The spelling of 874848 in words is "eight hundred seventy-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 701 1248 1402 2103 2804 4206 5608 8412 9113 11216 16824 18226 22432 27339 33648 36452 54678 67296 72904 109356 145808 218712 291616 437424 874848