Search a number
-
+
2972704 = 25723577
BaseRepresentation
bin1011010101110000100000
312121000210011
423111300200
51230111304
6143414304
734160530
oct13256040
95530704
102972704
111750489
12bb4394
138010c7
145754c0
153dac04
hex2d5c20

2972704 has 48 divisors (see below), whose sum is σ = 6991488. Its totient is φ = 1216512.

The previous prime is 2972701. The next prime is 2972729. The reversal of 2972704 is 4072792.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2972701) 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, 4864 + ... + 5440.

It is an arithmetic number, because the mean of its divisors is an integer number (145656).

22972704 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 2972704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495744).

2972704 is an abundant number, since it is smaller than the sum of its proper divisors (4018784).

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

2972704 is a wasteful number, since it uses less digits than its factorization.

2972704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 2972704 is about 1724.1531254503. The cubic root of 2972704 is about 143.7862053732.

The spelling of 2972704 in words is "two million, nine hundred seventy-two thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 577 644 736 1154 1288 2308 2576 4039 4616 5152 8078 9232 13271 16156 18464 26542 32312 53084 64624 92897 106168 129248 185794 212336 371588 424672 743176 1486352 2972704