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5974272 = 28322593
BaseRepresentation
bin10110110010100100000000
3102020112011100
4112302210000
53012134042
6332014400
7101531463
oct26624400
912215140
105974272
113410617
122001400
131312395
14b172da
157d024c
hex5b2900

5974272 has 54 divisors (see below), whose sum is σ = 17231942. Its totient is φ = 1990656.

The previous prime is 5974271. The next prime is 5974301. The reversal of 5974272 is 2724795.

5974272 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5308416 + 665856 = 2304^2 + 816^2 .

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

It is a d-powerful number, because it can be written as 57 + 9 + 7 + 44 + 2 + 78 + 217 .

It is not an unprimeable number, because it can be changed into a prime (5974271) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1008 + ... + 3600.

Almost surely, 25974272 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 5974272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8615971).

5974272 is an abundant number, since it is smaller than the sum of its proper divisors (11257670).

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

5974272 is a wasteful number, since it uses less digits than its factorization.

5974272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2615 (or 2598 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 5974272 is about 2444.2323948430. The cubic root of 5974272 is about 181.4519600563.

The spelling of 5974272 in words is "five million, nine hundred seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 2593 5186 7779 10372 15558 20744 23337 31116 41488 46674 62232 82976 93348 124464 165952 186696 248928 331904 373392 497856 663808 746784 995712 1493568 1991424 2987136 5974272