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40907235296 = 2519631106627
BaseRepresentation
bin100110000110010000…
…101101111111100000
310220120220011212100202
4212012100231333200
51132234223012141
630443104004332
72645501522444
oct460620557740
9126526155322
1040907235296
1116392082384
127b179006a8
133b1c010295
141da0c8c824
1510e649249b
hex98642dfe0

40907235296 has 48 divisors (see below), whose sum is σ = 84910008960. Its totient is φ = 19346221440.

The previous prime is 40907235263. The next prime is 40907235307. The reversal of 40907235296 is 69253270904.

It is a self number, because there is not a number n which added to its sum of digits gives 40907235296.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 330335 + ... + 436961.

It is an arithmetic number, because the mean of its divisors is an integer number (1768958520).

Almost surely, 240907235296 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 40907235296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42455004480).

40907235296 is an abundant number, since it is smaller than the sum of its proper divisors (44002773664).

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

40907235296 is a wasteful number, since it uses less digits than its factorization.

40907235296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107287 (or 107279 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 47.

The spelling of 40907235296 in words is "forty billion, nine hundred seven million, two hundred thirty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 631 1262 2524 5048 10096 11989 20192 23978 47956 95912 106627 191824 213254 383648 426508 853016 1706032 2025913 3412064 4051826 8103652 16207304 32414608 64829216 67281637 134563274 269126548 538253096 1076506192 1278351103 2153012384 2556702206 5113404412 10226808824 20453617648 40907235296