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40950080 = 265731753
BaseRepresentation
bin1001110000110…
…1100101000000
32212001110221122
42130031211000
540440400310
64021411412
71005032663
oct234154500
985043848
1040950080
112112a446
1211869b68
13863a122
14561d6da
1538dd555
hex270d940

40950080 has 56 divisors (see below), whose sum is σ = 98904552. Its totient is φ = 16146432.

The previous prime is 40950067. The next prime is 40950089. The reversal of 40950080 is 8005904.

It can be written as a sum of positive squares in 4 ways, for example, as 92416 + 40857664 = 304^2 + 6392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40950089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22484 + ... + 24236.

Almost surely, 240950080 is an apocalyptic number.

40950080 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 40950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49452276).

40950080 is an abundant number, since it is smaller than the sum of its proper divisors (57954472).

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

40950080 is a wasteful number, since it uses less digits than its factorization.

40950080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 40950080 is about 6399.2249530705. The cubic root of 40950080 is about 344.6817200435.

Adding to 40950080 its reverse (8005904), we get a palindrome (48955984).

The spelling of 40950080 in words is "forty million, nine hundred fifty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 146 160 292 320 365 584 730 1168 1460 1753 2336 2920 3506 4672 5840 7012 8765 11680 14024 17530 23360 28048 35060 56096 70120 112192 127969 140240 255938 280480 511876 560960 639845 1023752 1279690 2047504 2559380 4095008 5118760 8190016 10237520 20475040 40950080