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40666752 = 27337412
BaseRepresentation
bin1001101100100…
…0011010000000
32211112002022000
42123020122000
540402314002
64011344000
71002442650
oct233103200
984462260
1040666752
1120a56595
1211752000
13856b189
145588360
15388461c
hex26c8680

40666752 has 192 divisors, whose sum is σ = 140596800. Its totient is φ = 11335680.

The previous prime is 40666739. The next prime is 40666781. The reversal of 40666752 is 25766604.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 991852 + ... + 991892.

It is an arithmetic number, because the mean of its divisors is an integer number (732275).

Almost surely, 240666752 is an apocalyptic number.

40666752 is a gapful number since it is divisible by the number (42) 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 40666752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70298400).

40666752 is an abundant number, since it is smaller than the sum of its proper divisors (99930048).

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

40666752 is an equidigital number, since it uses as much as digits as its factorization.

40666752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 40666752 is about 6377.0488472333. The cubic root of 40666752 is about 343.8849443960.

The spelling of 40666752 in words is "forty million, six hundred sixty-six thousand, seven hundred fifty-two".