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2442745504 = 251711094049
BaseRepresentation
bin1001000110011001…
…0101011010100000
320022020110022212201
42101212111122200
520000320324004
61042220302544
7114350665003
oct22146253240
96266408781
102442745504
111043958941
125820a1a54
132cc104054
141925c953a
15e46bb6a4
hex919956a0

2442745504 has 48 divisors (see below), whose sum is σ = 5097897000. Its totient is φ = 1148207104.

The previous prime is 2442745451. The next prime is 2442745537. The reversal of 2442745504 is 4055472442.

It can be written as a sum of positive squares in 4 ways, for example, as 1409251600 + 1033493904 = 37540^2 + 32148^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 601272 + ... + 605320.

Almost surely, 22442745504 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 2442745504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548948500).

2442745504 is an abundant number, since it is smaller than the sum of its proper divisors (2655151496).

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

2442745504 is a wasteful number, since it uses less digits than its factorization.

2442745504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5185 (or 5177 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 37.

The square root of 2442745504 is about 49424.1388797013. The cubic root of 2442745504 is about 1346.7678515394.

The spelling of 2442745504 in words is "two billion, four hundred forty-two million, seven hundred forty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 1109 2218 4049 4436 8098 8872 16196 17744 18853 32392 35488 37706 64784 68833 75412 129568 137666 150824 275332 301648 550664 603296 1101328 2202656 4490341 8980682 17961364 35922728 71845456 76335797 143690912 152671594 305343188 610686376 1221372752 2442745504