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40668048 = 2433234093
BaseRepresentation
bin1001101100100…
…0101110010000
32211112011002000
42123020232100
540402334143
64011354000
71002446511
oct233105620
984464060
1040668048
1120a57563
1211752900
13856b945
145588a08
153884bd3
hex26c8b90

40668048 has 80 divisors (see below), whose sum is σ = 121837440. Its totient is φ = 12963456.

The previous prime is 40667993. The next prime is 40668059. The reversal of 40668048 is 84086604.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 7890 + ... + 11982.

It is an arithmetic number, because the mean of its divisors is an integer number (1522968).

Almost surely, 240668048 is an apocalyptic number.

40668048 is a gapful number since it is divisible by the number (48) 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 40668048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60918720).

40668048 is an abundant number, since it is smaller than the sum of its proper divisors (81169392).

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

40668048 is a wasteful number, since it uses less digits than its factorization.

40668048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4133 (or 4121 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 40668048 is about 6377.1504608250. The cubic root of 40668048 is about 343.8885974223. Note that the first 3 decimals are identical.

The spelling of 40668048 in words is "forty million, six hundred sixty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 3312 4093 4968 8186 9936 12279 16372 24558 32744 36837 49116 65488 73674 94139 98232 110511 147348 188278 196464 221022 282417 294696 376556 442044 564834 589392 753112 847251 884088 1129668 1506224 1694502 1768176 2259336 2541753 3389004 4518672 5083506 6778008 10167012 13556016 20334024 40668048