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5974944 = 253109571
BaseRepresentation
bin10110110010101110100000
3102020120002020
4112302232200
53012144234
6332021440
7101533443
oct26625640
912216066
105974944
113411078
122001880
131312791
14b1765a
157d0549
hex5b2ba0

5974944 has 48 divisors (see below), whose sum is σ = 15855840. Its totient is φ = 1969920.

The previous prime is 5974937. The next prime is 5974961. The reversal of 5974944 is 4494795.

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

It is a junction number, because it is equal to n+sod(n) for n = 5974896 and 5974905.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10179 + ... + 10749.

It is an arithmetic number, because the mean of its divisors is an integer number (330330).

Almost surely, 25974944 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 5974944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7927920).

5974944 is an abundant number, since it is smaller than the sum of its proper divisors (9880896).

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

5974944 is a wasteful number, since it uses less digits than its factorization.

5974944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 685 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 5974944 is about 2444.3698574479. The cubic root of 5974944 is about 181.4587631806.

The spelling of 5974944 in words is "five million, nine hundred seventy-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 218 327 436 571 654 872 1142 1308 1713 1744 2284 2616 3426 3488 4568 5232 6852 9136 10464 13704 18272 27408 54816 62239 124478 186717 248956 373434 497912 746868 995824 1493736 1991648 2987472 5974944