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2442885552 = 243234748889
BaseRepresentation
bin1001000110011011…
…0111100110110000
320022020201102222200
42101212313212300
520000334314202
61042223303200
7114352120212
oct22146674660
96266642880
102442885552
111043a44088
1258214ab00
132cc152a13
141926245b2
15e46e7e1c
hex919b79b0

2442885552 has 60 divisors (see below), whose sum is σ = 6856529160. Its totient is φ = 811931904.

The previous prime is 2442885551. The next prime is 2442885553. The reversal of 2442885552 is 2555882442.

2442885552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2442885551) and next prime (2442885553).

It is a super-4 number, since 4×24428855524 (a number of 39 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2442885498 and 2442885507.

It is not an unprimeable number, because it can be changed into a prime (2442885551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25524 + ... + 74412.

It is an arithmetic number, because the mean of its divisors is an integer number (114275486).

Almost surely, 22442885552 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 2442885552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428264580).

2442885552 is an abundant number, since it is smaller than the sum of its proper divisors (4413643608).

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

2442885552 is a wasteful number, since it uses less digits than its factorization.

2442885552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49250 (or 49241 counting only the distinct ones).

The product of its digits is 1024000, while the sum is 45.

The square root of 2442885552 is about 49425.5556569676. Note that the first 3 decimals coincide. The cubic root of 2442885552 is about 1346.7935887736.

The spelling of 2442885552 in words is "two billion, four hundred forty-two million, eight hundred eighty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 347 694 1041 1388 2082 2776 3123 4164 5552 6246 8328 12492 16656 24984 48889 49968 97778 146667 195556 293334 391112 440001 586668 782224 880002 1173336 1760004 2346672 3520008 7040016 16964483 33928966 50893449 67857932 101786898 135715864 152680347 203573796 271431728 305360694 407147592 610721388 814295184 1221442776 2442885552