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10449312 = 253891223
BaseRepresentation
bin100111110111…
…000110100000
3201122212202120
4213313012200
510133334222
61011544240
7154550316
oct47670640
921585676
1010449312
1159977a5
1235bb080
13221b233
1415600b6
15db615c
hex9f71a0

10449312 has 48 divisors (see below), whose sum is σ = 27760320. Its totient is φ = 3441152.

The previous prime is 10449287. The next prime is 10449317. The reversal of 10449312 is 21394401.

10449312 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 tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10449317) 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, 7933 + ... + 9155.

It is an arithmetic number, because the mean of its divisors is an integer number (578340).

Almost surely, 210449312 is an apocalyptic number.

10449312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10449312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13880160).

10449312 is an abundant number, since it is smaller than the sum of its proper divisors (17311008).

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

10449312 is a wasteful number, since it uses less digits than its factorization.

10449312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10449312 is about 3232.5395589227. The cubic root of 10449312 is about 218.6230248684.

The spelling of 10449312 in words is "ten million, four hundred forty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1223 1424 2136 2446 2848 3669 4272 4892 7338 8544 9784 14676 19568 29352 39136 58704 108847 117408 217694 326541 435388 653082 870776 1306164 1741552 2612328 3483104 5224656 10449312