Search a number
-
+
2972448 = 253210321
BaseRepresentation
bin1011010101101100100000
312121000102200
423111230200
51230104243
6143413200
734160013
oct13255440
95530380
102972448
111750276
12bb4200
13800c5b
1457537a
153daad3
hex2d5b20

2972448 has 36 divisors (see below), whose sum is σ = 8453718. Its totient is φ = 990720.

The previous prime is 2972447. The next prime is 2972449. The reversal of 2972448 is 8442792.

2972448 is nontrivially palindromic in base 15.

2972448 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2972447) and next prime (2972449).

It can be written as a sum of positive squares in only one way, i.e., 2471184 + 501264 = 1572^2 + 708^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×29724482 = 17670894225408, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2972447) 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, 4873 + ... + 5448.

22972448 is an apocalyptic number.

It is an amenable number.

2972448 is an abundant number, since it is smaller than the sum of its proper divisors (5481270).

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

2972448 is a wasteful number, since it uses less digits than its factorization.

2972448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10337 (or 10326 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2972448 is about 1724.0788845062. The cubic root of 2972448 is about 143.7820777815.

The spelling of 2972448 in words is "two million, nine hundred seventy-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 10321 20642 30963 41284 61926 82568 92889 123852 165136 185778 247704 330272 371556 495408 743112 990816 1486224 2972448