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10482048 = 2735337
BaseRepresentation
bin100111111111…
…000110000000
3201201112200000
4213333012000
510140411143
61012400000
7155044623
oct47770600
921645600
1010482048
115a0a355
123616000
1322300c5
14156bdba
15dc0bd3
hex9ff180

10482048 has 96 divisors (see below), whose sum is σ = 31373160. Its totient is φ = 3483648.

The previous prime is 10482029. The next prime is 10482049. The reversal of 10482048 is 84028401.

10482048 is digitally balanced in base 2, because in such base 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10482049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30936 + ... + 31272.

Almost surely, 210482048 is an apocalyptic number.

10482048 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 10482048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15686580).

10482048 is an abundant number, since it is smaller than the sum of its proper divisors (20891112).

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

10482048 is an frugal number, since it uses more digits than its factorization.

10482048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 10482048 is about 3237.5991104521. The cubic root of 10482048 is about 218.8510903646.

The spelling of 10482048 in words is "ten million, four hundred eighty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 337 384 432 486 576 648 674 864 972 1011 1152 1296 1348 1728 1944 2022 2592 2696 3033 3456 3888 4044 5184 5392 6066 7776 8088 9099 10368 10784 12132 15552 16176 18198 21568 24264 27297 31104 32352 36396 43136 48528 54594 64704 72792 81891 97056 109188 129408 145584 163782 194112 218376 291168 327564 388224 436752 582336 655128 873504 1164672 1310256 1747008 2620512 3494016 5241024 10482048