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4040012752 = 243197131641
BaseRepresentation
bin1111000011001101…
…1011001111010000
3101102112222220121221
43300303123033100
531233220402002
61504515254424
7202054353556
oct36063331720
911375886557
104040012752
111793533416
12948baa414
134c4cc0cb9
142a47abbd6
15189a2ac37
hexf0cdb3d0

4040012752 has 80 divisors (see below), whose sum is σ = 8238472704. Its totient is φ = 1916928000.

The previous prime is 4040012729. The next prime is 4040012759. The reversal of 4040012752 is 2572100404.

It is a super-2 number, since 2×40400127522 = 32643406072645227008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040012759) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6302352 + ... + 6302992.

Almost surely, 24040012752 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 4040012752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4119236352).

4040012752 is an abundant number, since it is smaller than the sum of its proper divisors (4198459952).

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

4040012752 is a wasteful number, since it uses less digits than its factorization.

4040012752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 4040012752 is about 63561.0946412977. The cubic root of 4040012752 is about 1592.6765240813.

The spelling of 4040012752 in words is "four billion, forty million, twelve thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 31 62 97 124 131 194 248 262 388 496 524 641 776 1048 1282 1552 2096 2564 3007 4061 5128 6014 8122 10256 12028 12707 16244 19871 24056 25414 32488 39742 48112 50828 62177 64976 79484 83971 101656 124354 158968 167942 203312 248708 317936 335884 393917 497416 671768 787834 994832 1343536 1575668 1927487 2603101 3151336 3854974 5206202 6302672 7709948 8145187 10412404 15419896 16290374 20824808 30839792 32580748 41649616 65161496 130322992 252500797 505001594 1010003188 2020006376 4040012752