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40508064 = 2532433271
BaseRepresentation
bin1001101010000…
…1101010100000
32211020000121200
42122201222200
540332224224
64004121200
71001212212
oct232415240
984200550
1040508064
1120958343
1211696200
138513b8c
1455465b2
1538525c9
hex26a1aa0

40508064 has 72 divisors (see below), whose sum is σ = 117909792. Its totient is φ = 13184640.

The previous prime is 40508053. The next prime is 40508077. The reversal of 40508064 is 46080504.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10749 + ... + 14019.

It is an arithmetic number, because the mean of its divisors is an integer number (1637636).

Almost surely, 240508064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40508064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58954896).

40508064 is an abundant number, since it is smaller than the sum of its proper divisors (77401728).

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

40508064 is a wasteful number, since it uses less digits than its factorization.

40508064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3330 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 40508064 is about 6364.5945668204. The cubic root of 40508064 is about 343.4370637859.

Adding to 40508064 its reverse (46080504), we get a palindrome (86588568).

The spelling of 40508064 in words is "forty million, five hundred eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 2064 3096 3271 4128 6192 6542 9813 12384 13084 19626 26168 29439 39252 52336 58878 78504 104672 117756 140653 157008 235512 281306 314016 421959 471024 562612 843918 942048 1125224 1265877 1687836 2250448 2531754 3375672 4500896 5063508 6751344 10127016 13502688 20254032 40508064