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10442772 = 22321072711
BaseRepresentation
bin100111110101…
…100000010100
3201122112210100
4213311200110
510133132042
61011454100
7154522254
oct47654024
921575710
1010442772
11599289a
1235b7330
132218272
14155b964
15db424c
hex9f5814

10442772 has 36 divisors (see below), whose sum is σ = 26653536. Its totient is φ = 3447120.

The previous prime is 10442767. The next prime is 10442779. The reversal of 10442772 is 27724401.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10442779) 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 11 ways as a sum of consecutive naturals, for example, 2497 + ... + 5207.

It is an arithmetic number, because the mean of its divisors is an integer number (740376).

Almost surely, 210442772 is an apocalyptic number.

10442772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10442772 is an abundant number, since it is smaller than the sum of its proper divisors (16210764).

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

10442772 is a wasteful number, since it uses less digits than its factorization.

10442772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 10442772 is about 3231.5278120419. The cubic root of 10442772 is about 218.5774048640.

The spelling of 10442772 in words is "ten million, four hundred forty-two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 428 642 963 1284 1926 2711 3852 5422 8133 10844 16266 24399 32532 48798 97596 290077 580154 870231 1160308 1740462 2610693 3480924 5221386 10442772