Search a number
-
+
10449264 = 2437137227
BaseRepresentation
bin100111110111…
…000101110000
3201122212200210
4213313011300
510133334024
61011544120
7154550220
oct47670560
921585623
1010449264
115997761
1235bb040
13221b1c7
141560080
15db6129
hex9f7170

10449264 has 80 divisors (see below), whose sum is σ = 31212288. Its totient is φ = 2950656.

The previous prime is 10449233. The next prime is 10449277. The reversal of 10449264 is 46294401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45919 + ... + 46145.

Almost surely, 210449264 is an apocalyptic number.

10449264 is a gapful number since it is divisible by the number (14) 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 10449264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15606144).

10449264 is an abundant number, since it is smaller than the sum of its proper divisors (20763024).

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

10449264 is a wasteful number, since it uses less digits than its factorization.

10449264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 10449264 is about 3232.5321344110. The cubic root of 10449264 is about 218.6226901120.

The spelling of 10449264 in words is "ten million, four hundred forty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 137 168 227 274 336 411 454 548 681 822 908 959 1096 1362 1589 1644 1816 1918 2192 2724 2877 3178 3288 3632 3836 4767 5448 5754 6356 6576 7672 9534 10896 11508 12712 15344 19068 23016 25424 31099 38136 46032 62198 76272 93297 124396 186594 217693 248792 373188 435386 497584 653079 746376 870772 1306158 1492752 1741544 2612316 3483088 5224632 10449264