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10494752 = 252943263
BaseRepresentation
bin101000000010…
…001100100000
3201202012002112
4220002030200
510141313002
61012534452
7155126642
oct50021440
921665075
1010494752
115a18954
123621428
132235b18
141572892
15dc4852
hexa02320

10494752 has 48 divisors (see below), whose sum is σ = 21954240. Its totient is φ = 4929792.

The previous prime is 10494751. The next prime is 10494767. The reversal of 10494752 is 25749401.

It is a happy number.

It is a super-2 number, since 2×104947522 = 220279639083008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (10494751) 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, 39773 + ... + 40035.

It is an arithmetic number, because the mean of its divisors is an integer number (457380).

Almost surely, 210494752 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 10494752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10977120).

10494752 is an abundant number, since it is smaller than the sum of its proper divisors (11459488).

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

10494752 is a wasteful number, since it uses less digits than its factorization.

10494752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 10494752 is about 3239.5604640136. The cubic root of 10494752 is about 218.9394688251.

The spelling of 10494752 in words is "ten million, four hundred ninety-four thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 43 58 86 116 172 232 263 344 464 526 688 928 1052 1247 1376 2104 2494 4208 4988 7627 8416 9976 11309 15254 19952 22618 30508 39904 45236 61016 90472 122032 180944 244064 327961 361888 655922 1311844 2623688 5247376 10494752