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3780248472 = 233272111359127
BaseRepresentation
bin1110000101010010…
…0000001110011000
3100202110012112000200
43201110200032120
530220220422342
61423035502200
7162451403400
oct34124401630
910673175020
103780248472
11166a9406a0
12895bb7960
13483240120
1427c0ad800
15171d1894c
hexe1520398

3780248472 has 576 divisors, whose sum is σ = 14341017600. Its totient is φ = 883975680.

The previous prime is 3780248471. The next prime is 3780248489. The reversal of 3780248472 is 2748420873.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3780248471) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29765673 + ... + 29765799.

It is an arithmetic number, because the mean of its divisors is an integer number (24897600).

Almost surely, 23780248472 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 3780248472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7170508800).

3780248472 is an abundant number, since it is smaller than the sum of its proper divisors (10560769128).

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

3780248472 is a wasteful number, since it uses less digits than its factorization.

3780248472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 3780248472 is about 61483.7252612429. The cubic root of 3780248472 is about 1557.7823618021.

It can be divided in two parts, 3780 and 248472, that added together give a palindrome (252252).

The spelling of 3780248472 in words is "three billion, seven hundred eighty million, two hundred forty-eight thousand, four hundred seventy-two".