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10048332 = 2237223743
BaseRepresentation
bin100110010101…
…001101001100
3200220111201110
4212111031030
510033021312
6555212020
7151260300
oct46251514
920814643
1010048332
115743508
123447010
13210a878
141497d00
15d3743c
hex99534c

10048332 has 72 divisors (see below), whose sum is σ = 28498176. Its totient is φ = 2742432.

The previous prime is 10048331. The next prime is 10048333. The reversal of 10048332 is 23384001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10048331) and next prime (10048333).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10048299 and 10048308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10048331) 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 23 ways as a sum of consecutive naturals, for example, 13153 + ... + 13895.

It is an arithmetic number, because the mean of its divisors is an integer number (395808).

Almost surely, 210048332 is an apocalyptic number.

10048332 is a gapful number since it is divisible by the number (12) 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 10048332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14249088).

10048332 is an abundant number, since it is smaller than the sum of its proper divisors (18449844).

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

10048332 is a wasteful number, since it uses less digits than its factorization.

10048332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 10048332 is about 3169.9104088286. The cubic root of 10048332 is about 215.7900051001.

The spelling of 10048332 in words is "ten million, forty-eight thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 49 69 84 92 98 138 147 161 196 276 294 322 483 588 644 743 966 1127 1486 1932 2229 2254 2972 3381 4458 4508 5201 6762 8916 10402 13524 15603 17089 20804 31206 34178 36407 51267 62412 68356 72814 102534 109221 119623 145628 205068 218442 239246 358869 436884 478492 717738 837361 1435476 1674722 2512083 3349444 5024166 10048332