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10290048 = 273127211
BaseRepresentation
bin100111010000…
…001110000000
3201100210021220
4213100032000
510113240143
61004315040
7153315066
oct47201600
921323256
1010290048
11589907a
123542a80
1321938b2
14151c036
15d83d83
hex9d0380

10290048 has 64 divisors (see below), whose sum is σ = 27678720. Its totient is φ = 3386880.

The previous prime is 10290019. The next prime is 10290073. The reversal of 10290048 is 84009201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48663 + ... + 48873.

It is an arithmetic number, because the mean of its divisors is an integer number (432480).

Almost surely, 210290048 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 10290048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13839360).

10290048 is an abundant number, since it is smaller than the sum of its proper divisors (17388672).

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

10290048 is a wasteful number, since it uses less digits than its factorization.

10290048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 10290048 is about 3207.8104682166. The cubic root of 10290048 is about 217.5066136184.

Adding to 10290048 its reverse (84009201), we get a palindrome (94299249).

The spelling of 10290048 in words is "ten million, two hundred ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 211 254 381 384 422 508 633 762 844 1016 1266 1524 1688 2032 2532 3048 3376 4064 5064 6096 6752 8128 10128 12192 13504 16256 20256 24384 26797 27008 40512 48768 53594 80391 81024 107188 160782 214376 321564 428752 643128 857504 1286256 1715008 2572512 3430016 5145024 10290048