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4449965742 = 233319672749
BaseRepresentation
bin1000010010011110…
…10001011010101110
3102111010101200102000
410021033101122232
533103142400432
62013322113130
7215163041025
oct41117213256
912433350360
104449965742
111983987142
12a4234b7a6
1355bc08931
143030038bc
151b0a0857c
hex1093d16ae

4449965742 has 64 divisors (see below), whose sum is σ = 10222080000. Its totient is φ = 1433466720.

The previous prime is 4449965633. The next prime is 4449965743. The reversal of 4449965742 is 2475699444.

It is a super-2 number, since 2×44499657422 = 39604390209947221128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4449965743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1617384 + ... + 1620132.

It is an arithmetic number, because the mean of its divisors is an integer number (159720000).

Almost surely, 24449965742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4449965742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5111040000).

4449965742 is an abundant number, since it is smaller than the sum of its proper divisors (5772114258).

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

4449965742 is a wasteful number, since it uses less digits than its factorization.

4449965742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3758 (or 3752 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 4449965742 is about 66708.0635455715. The cubic root of 4449965742 is about 1644.8219356845.

The spelling of 4449965742 in words is "four billion, four hundred forty-nine million, nine hundred sixty-five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 967 1674 1934 2749 2901 5498 5802 8247 8703 16494 17406 24741 26109 29977 49482 52218 59954 74223 85219 89931 148446 170438 179862 255657 269793 511314 539586 766971 809379 1533942 1618758 2300913 2658283 4601826 5316566 7974849 15949698 23924547 47849094 71773641 82406773 143547282 164813546 247220319 494440638 741660957 1483321914 2224982871 4449965742