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10468948 = 2272311723
BaseRepresentation
bin100111111011…
…111001010100
3201200212200211
4213323321110
510140001243
61012215204
7154661500
oct47737124
921625624
1010468948
115a00526
12360a504
132227159
141567300
15dbbd9d
hex9fbe54

10468948 has 36 divisors (see below), whose sum is σ = 22012032. Its totient is φ = 4339440.

The previous prime is 10468937. The next prime is 10468949. The reversal of 10468948 is 84986401.

It is a self number, because there is not a number n which added to its sum of digits gives 10468948.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10468949) 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, 5215 + ... + 6937.

Almost surely, 210468948 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 10468948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11006016).

10468948 is an abundant number, since it is smaller than the sum of its proper divisors (11543084).

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

10468948 is a wasteful number, since it uses less digits than its factorization.

10468948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 10468948 is about 3235.5753738709. The cubic root of 10468948 is about 218.7598822202.

The spelling of 10468948 in words is "ten million, four hundred sixty-eight thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 434 868 1519 1723 3038 3446 6076 6892 12061 24122 48244 53413 84427 106826 168854 213652 337708 373891 747782 1495564 2617237 5234474 10468948