Search a number
-
+
3988423296 = 2732112133171
BaseRepresentation
bin1110110110111010…
…1000001010000000
3101021221220220012100
43231232220022000
531132014021141
61455433430400
7200560016154
oct35556501200
911257826170
103988423296
1117673a7500
1293386b400
134b73ca2b0
1429b9bd064
1518523a0b6
hexedba8280

3988423296 has 576 divisors, whose sum is σ = 14221509120. Its totient is φ = 1064448000.

The previous prime is 3988423279. The next prime is 3988423339. The reversal of 3988423296 is 6923248893.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56174941 + ... + 56175011.

It is an arithmetic number, because the mean of its divisors is an integer number (24690120).

Almost surely, 23988423296 is an apocalyptic number.

3988423296 is a gapful number since it is divisible by the number (36) 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 3988423296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7110754560).

3988423296 is an abundant number, since it is smaller than the sum of its proper divisors (10233085824).

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

3988423296 is a wasteful number, since it uses less digits than its factorization.

3988423296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 131 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 3988423296 is about 63153.9650061657. The cubic root of 3988423296 is about 1585.8681661930.

The spelling of 3988423296 in words is "three billion, nine hundred eighty-eight million, four hundred twenty-three thousand, two hundred ninety-six".