Search a number
-
+
4406987376 = 243211191271153
BaseRepresentation
bin1000001101010110…
…10100101001110000
3102101010112011011200
410012223110221300
533011142044001
62005145011200
7214131526461
oct40653245160
912333464150
104406987376
1119616a1930
12a2ba83b00
1355303b54c
142db416d68
151abd69086
hex106ad4a70

4406987376 has 240 divisors, whose sum is σ = 14286704640. Its totient is φ = 1254113280.

The previous prime is 4406987363. The next prime is 4406987399. The reversal of 4406987376 is 6737896044.

It is a happy number.

4406987376 is a `hidden beast` number, since 440 + 69 + 8 + 73 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3821616 + ... + 3822768.

It is an arithmetic number, because the mean of its divisors is an integer number (59527936).

Almost surely, 24406987376 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 4406987376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7143352320).

4406987376 is an abundant number, since it is smaller than the sum of its proper divisors (9879717264).

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

4406987376 is a wasteful number, since it uses less digits than its factorization.

4406987376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 4406987376 is about 66385.1442417654. The cubic root of 4406987376 is about 1639.5094924124.

The spelling of 4406987376 in words is "four billion, four hundred six million, nine hundred eighty-seven thousand, three hundred seventy-six".