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4072045752 = 2332257220063
BaseRepresentation
bin1111001010110110…
…0111110010111000
3101111210021100122100
43302231213302320
531314420431002
61512022023400
7202623550335
oct36255476270
911453240570
104072045752
1117aa622275
12957877b60
134cb828438
142a8b4998c
1518c75711c
hexf2b67cb8

4072045752 has 48 divisors (see below), whose sum is σ = 11071419840. Its totient is φ = 1352060928.

The previous prime is 4072045723. The next prime is 4072045771. The reversal of 4072045752 is 2575402704.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91528 + ... + 128535.

It is an arithmetic number, because the mean of its divisors is an integer number (230654580).

Almost surely, 24072045752 is an apocalyptic number.

It is an amenable number.

4072045752 is an abundant number, since it is smaller than the sum of its proper divisors (6999374088).

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

4072045752 is a wasteful number, since it uses less digits than its factorization.

4072045752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220332 (or 220325 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 4072045752 is about 63812.5830224729. The cubic root of 4072045752 is about 1596.8748571924.

The spelling of 4072045752 in words is "four billion, seventy-two million, forty-five thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 257 514 771 1028 1542 2056 2313 3084 4626 6168 9252 18504 220063 440126 660189 880252 1320378 1760504 1980567 2640756 3961134 5281512 7922268 15844536 56556191 113112382 169668573 226224764 339337146 452449528 509005719 678674292 1018011438 1357348584 2036022876 4072045752