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10048116 = 22313411571
BaseRepresentation
bin100110010101…
…001001110100
3200220111102110
4212111021310
510033014431
6555211020
7151256541
oct46251164
920814373
1010048116
115743331
123446a70
13210a740
141497bc8
15d37346
hex995274

10048116 has 48 divisors (see below), whose sum is σ = 25881408. Its totient is φ = 3014400.

The previous prime is 10048109. The next prime is 10048117. The reversal of 10048116 is 61184001.

It is a junction number, because it is equal to n+sod(n) for n = 10048092 and 10048101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10048117) 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 15 ways as a sum of consecutive naturals, for example, 5611 + ... + 7181.

It is an arithmetic number, because the mean of its divisors is an integer number (539196).

Almost surely, 210048116 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 10048116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12940704).

10048116 is an abundant number, since it is smaller than the sum of its proper divisors (15833292).

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

10048116 is a wasteful number, since it uses less digits than its factorization.

10048116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 10048116 is about 3169.8763382820. The cubic root of 10048116 is about 215.7884588741.

The spelling of 10048116 in words is "ten million, forty-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 156 164 246 492 533 1066 1571 1599 2132 3142 3198 4713 6284 6396 9426 18852 20423 40846 61269 64411 81692 122538 128822 193233 245076 257644 386466 772932 837343 1674686 2512029 3349372 5024058 10048116