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2725432736 = 251310363607
BaseRepresentation
bin1010001001110010…
…1100110110100000
321000221101022212012
42202130230312200
521040202321421
61130235252052
7124352540015
oct24234546640
97027338765
102725432736
111179487a54
126408aa028
1334584c8c0
141bbd7370c
1510e40a95b
hexa272cda0

2725432736 has 48 divisors (see below), whose sum is σ = 5834634624. Its totient is φ = 1245659904.

The previous prime is 2725432693. The next prime is 2725432747. The reversal of 2725432736 is 6372345272.

It is a junction number, because it is equal to n+sod(n) for n = 2725432693 and 2725432702.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11045 + ... + 74651.

It is an arithmetic number, because the mean of its divisors is an integer number (121554888).

Almost surely, 22725432736 is an apocalyptic number.

2725432736 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2725432736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2917317312).

2725432736 is an abundant number, since it is smaller than the sum of its proper divisors (3109201888).

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

2725432736 is a wasteful number, since it uses less digits than its factorization.

2725432736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63733 (or 63725 counting only the distinct ones).

The product of its digits is 423360, while the sum is 41.

The square root of 2725432736 is about 52205.6772391662. The cubic root of 2725432736 is about 1396.8351529628.

The spelling of 2725432736 in words is "two billion, seven hundred twenty-five million, four hundred thirty-two thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 103 104 206 208 412 416 824 1339 1648 2678 3296 5356 10712 21424 42848 63607 127214 254428 508856 826891 1017712 1653782 2035424 3307564 6551521 6615128 13103042 13230256 26206084 26460512 52412168 85169773 104824336 170339546 209648672 340679092 681358184 1362716368 2725432736