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40100064 = 253617677
BaseRepresentation
bin1001100011111…
…0000011100000
32210110021221120
42120332003200
540231200224
63551252240
7664562544
oct230760340
983407846
1040100064
11206a9854
121151a080
138400264
14547ba24
1537c1779
hex263e0e0

40100064 has 48 divisors (see below), whose sum is σ = 105589008. Its totient is φ = 13325312.

The previous prime is 40100057. The next prime is 40100087. The reversal of 40100064 is 46000104.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 58894 + ... + 59570.

It is an arithmetic number, because the mean of its divisors is an integer number (2199771).

Almost surely, 240100064 is an apocalyptic number.

It is an amenable number.

40100064 is an abundant number, since it is smaller than the sum of its proper divisors (65488944).

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

40100064 is a wasteful number, since it uses less digits than its factorization.

40100064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 40100064 is about 6332.4611329245. The cubic root of 40100064 is about 342.2801302531.

Adding to 40100064 its reverse (46000104), we get a palindrome (86100168).

The spelling of 40100064 in words is "forty million, one hundred thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 617 677 1234 1354 1851 2031 2468 2708 3702 4062 4936 5416 7404 8124 9872 10832 14808 16248 19744 21664 29616 32496 59232 64992 417709 835418 1253127 1670836 2506254 3341672 5012508 6683344 10025016 13366688 20050032 40100064