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10407444 = 22331101277
BaseRepresentation
bin100111101100…
…111000010100
3201120202022220
4213230320110
510131014234
61011022340
7154314255
oct47547024
921522286
1010407444
1159692a3
12359a9b0
132205168
14154cb2c
15da8a49
hex9ece14

10407444 has 48 divisors (see below), whose sum is σ = 25406976. Its totient is φ = 3312000.

The previous prime is 10407443. The next prime is 10407457. The reversal of 10407444 is 44470401.

10407444 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×104074442 = 216629781226272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10407443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37434 + ... + 37710.

It is an arithmetic number, because the mean of its divisors is an integer number (529312).

Almost surely, 210407444 is an apocalyptic number.

It is an amenable number.

10407444 is an abundant number, since it is smaller than the sum of its proper divisors (14999532).

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

10407444 is a wasteful number, since it uses less digits than its factorization.

10407444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 10407444 is about 3226.0570360736. The cubic root of 10407444 is about 218.3306432213.

Adding to 10407444 its reverse (44470401), we get a palindrome (54877845).

The spelling of 10407444 in words is "ten million, four hundred seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 31 62 93 101 124 186 202 277 303 372 404 554 606 831 1108 1212 1662 3131 3324 6262 8587 9393 12524 17174 18786 25761 27977 34348 37572 51522 55954 83931 103044 111908 167862 335724 867287 1734574 2601861 3469148 5203722 10407444