Search a number
-
+
2987332608 = 2103131931127
BaseRepresentation
bin1011001000001111…
…0001010000000000
321201012012012221110
42302003301100000
522104224120413
61212232523320
7134012623341
oct26203612000
97635165843
102987332608
1112a32a9227
126b4550540
13387b9a840
14204a6a0c8
151273e08c3
hexb20f1400

2987332608 has 352 divisors, whose sum is σ = 9390653440. Its totient is φ = 836075520.

The previous prime is 2987332561. The next prime is 2987332609. The reversal of 2987332608 is 8062337892.

It is a happy number.

It is a super-2 number, since 2×29873326082 = 17848312221640163328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2987332609) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23522241 + ... + 23522367.

Almost surely, 22987332608 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 2987332608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4695326720).

2987332608 is an abundant number, since it is smaller than the sum of its proper divisors (6403320832).

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

2987332608 is a wasteful number, since it uses less digits than its factorization.

2987332608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 2987332608 is about 54656.4964848645. The cubic root of 2987332608 is about 1440.2167574942.

It can be divided in two parts, 29873 and 32608, that added together give a triangular number (62481 = T353).

The spelling of 2987332608 in words is "two billion, nine hundred eighty-seven million, three hundred thirty-two thousand, six hundred eight".