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3748045392 = 2433713671423
BaseRepresentation
bin1101111101100110…
…1010001001010000
3100200012121102201000
43133121222021100
530133444423032
61415525342000
7161610601020
oct33731521120
910605542630
103748045392
111653745a83
12887267900
13479676450
14277ac9a80
1516e0a6e7c
hexdf66a250

3748045392 has 320 divisors, whose sum is σ = 13448028160. Its totient is φ = 973057536.

The previous prime is 3748045337. The next prime is 3748045417. The reversal of 3748045392 is 2935408473.

3748045392 is a `hidden beast` number, since 37 + 4 + 80 + 4 + 539 + 2 = 666.

3748045392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2633193 + ... + 2634615.

It is an arithmetic number, because the mean of its divisors is an integer number (42025088).

Almost surely, 23748045392 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 3748045392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6724014080).

3748045392 is an abundant number, since it is smaller than the sum of its proper divisors (9699982768).

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

3748045392 is a wasteful number, since it uses less digits than its factorization.

3748045392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3748045392 is about 61221.2821819341. The cubic root of 3748045392 is about 1553.3462762199.

The spelling of 3748045392 in words is "three billion, seven hundred forty-eight million, forty-five thousand, three hundred ninety-two".