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10445472 = 253236269
BaseRepresentation
bin100111110110…
…001010100000
3201122200111100
4213312022200
510133223342
61011514400
7154533162
oct47661240
921580440
1010445472
115994924
1235b8a00
13221956b
14155c932
15db4e4c
hex9f62a0

10445472 has 36 divisors (see below), whose sum is σ = 29705130. Its totient is φ = 3481728.

The previous prime is 10445471. The next prime is 10445489. The reversal of 10445472 is 27454401.

It can be written as a sum of positive squares in only one way, i.e., 5934096 + 4511376 = 2436^2 + 2124^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10445471) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 17847 + ... + 18422.

Almost surely, 210445472 is an apocalyptic number.

10445472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10445472 is an abundant number, since it is smaller than the sum of its proper divisors (19259658).

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

10445472 is a wasteful number, since it uses less digits than its factorization.

10445472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36285 (or 36274 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 10445472 is about 3231.9455440957. The cubic root of 10445472 is about 218.5962411186.

Adding to 10445472 its reverse (27454401), we get a palindrome (37899873).

The spelling of 10445472 in words is "ten million, four hundred forty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 36269 72538 108807 145076 217614 290152 326421 435228 580304 652842 870456 1160608 1305684 1740912 2611368 3481824 5222736 10445472