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10873248 = 253191593
BaseRepresentation
bin101001011110…
…100110100000
3202110102021220
4221132212200
510240420443
61025015040
7161264301
oct51364640
922412256
1010873248
116157261
123784480
132339199
1416307a8
15e4ba83
hexa5e9a0

10873248 has 48 divisors (see below), whose sum is σ = 28740096. Its totient is φ = 3599360.

The previous prime is 10873243. The next prime is 10873259. The reversal of 10873248 is 84237801.

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10873243) 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 7 ways as a sum of consecutive naturals, for example, 18040 + ... + 18632.

It is an arithmetic number, because the mean of its divisors is an integer number (598752).

Almost surely, 210873248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10873248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14370048).

10873248 is an abundant number, since it is smaller than the sum of its proper divisors (17866848).

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

10873248 is a wasteful number, since it uses less digits than its factorization.

10873248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 10873248 is about 3297.4608413141. The cubic root of 10873248 is about 221.5404828282.

The spelling of 10873248 in words is "ten million, eight hundred seventy-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 191 382 573 593 764 1146 1186 1528 1779 2292 2372 3056 3558 4584 4744 6112 7116 9168 9488 14232 18336 18976 28464 56928 113263 226526 339789 453052 679578 906104 1359156 1812208 2718312 3624416 5436624 10873248