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10950048 = 2532193197
BaseRepresentation
bin101001110001…
…010110100000
3202121022122100
4221301112200
510300400143
61030410400
7162034224
oct51612640
922538570
1010950048
1161a9a2a
123800a00
132365125
141650784
15e646d3
hexa715a0

10950048 has 72 divisors (see below), whose sum is σ = 31459428. Its totient is φ = 3612672.

The previous prime is 10950007. The next prime is 10950053. The reversal of 10950048 is 84005901.

It can be written as a sum of positive squares in 2 ways, for example, as 10575504 + 374544 = 3252^2 + 612^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55486 + ... + 55682.

Almost surely, 210950048 is an apocalyptic number.

10950048 is a gapful number since it is divisible by the number (18) 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 10950048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15729714).

10950048 is an abundant number, since it is smaller than the sum of its proper divisors (20509380).

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

10950048 is a wasteful number, since it uses less digits than its factorization.

10950048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10950048 is about 3309.0856743215. The cubic root of 10950048 is about 222.0608549993.

Adding to 10950048 its reverse (84005901), we get a palindrome (94955949).

The spelling of 10950048 in words is "ten million, nine hundred fifty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 193 197 288 386 394 579 591 772 788 1158 1182 1544 1576 1737 1773 2316 2364 3088 3152 3474 3546 4632 4728 6176 6304 6948 7092 9264 9456 13896 14184 18528 18912 27792 28368 38021 55584 56736 76042 114063 152084 228126 304168 342189 456252 608336 684378 912504 1216672 1368756 1825008 2737512 3650016 5475024 10950048