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40089760 = 255435827
BaseRepresentation
bin1001100011101…
…1100010100000
32210102202210221
42120323202200
540230333020
63551132424
7664520524
oct230734240
983382727
1040089760
11206a2037
1211514114
1383c8669
145477d84
1537bd6aa
hex263b8a0

40089760 has 48 divisors (see below), whose sum is σ = 96931296. Its totient is φ = 15660288.

The previous prime is 40089737. The next prime is 40089761. The reversal of 40089760 is 6798004.

It is not an unprimeable number, because it can be changed into a prime (40089761) 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 7 ways as a sum of consecutive naturals, for example, 3967 + ... + 9793.

It is an arithmetic number, because the mean of its divisors is an integer number (2019402).

Almost surely, 240089760 is an apocalyptic number.

40089760 is a gapful number since it is divisible by the number (40) 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 40089760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48465648).

40089760 is an abundant number, since it is smaller than the sum of its proper divisors (56841536).

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

40089760 is a wasteful number, since it uses less digits than its factorization.

40089760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5885 (or 5877 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 40089760 is about 6331.6474949258. The cubic root of 40089760 is about 342.2508106275.

The spelling of 40089760 in words is "forty million, eighty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 688 860 1376 1720 3440 5827 6880 11654 23308 29135 46616 58270 93232 116540 186464 233080 250561 466160 501122 932320 1002244 1252805 2004488 2505610 4008976 5011220 8017952 10022440 20044880 40089760