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2923932648 = 23371319312273
BaseRepresentation
bin1010111001000111…
…1010101111101000
321112202220011112210
42232101322233220
521442011321043
61202050005120
7132313005660
oct25621725750
97482804483
102923932648
11127053596a
126972767a0
13377a00180
141da4851a0
15121a6a633
hexae47abe8

2923932648 has 256 divisors, whose sum is σ = 9780019200. Its totient is φ = 706682880.

The previous prime is 2923932643. The next prime is 2923932677. The reversal of 2923932648 is 8462393292.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2923932597 and 2923932606.

It is not an unprimeable number, because it can be changed into a prime (2923932643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1285240 + ... + 1287512.

It is an arithmetic number, because the mean of its divisors is an integer number (38203200).

Almost surely, 22923932648 is an apocalyptic number.

2923932648 is a gapful number since it is divisible by the number (28) 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 2923932648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4890009600).

2923932648 is an abundant number, since it is smaller than the sum of its proper divisors (6856086552).

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

2923932648 is a wasteful number, since it uses less digits than its factorization.

2923932648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2352 (or 2348 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 48.

The square root of 2923932648 is about 54073.4005588700. The cubic root of 2923932648 is about 1429.9552772621.

The spelling of 2923932648 in words is "two billion, nine hundred twenty-three million, nine hundred thirty-two thousand, six hundred forty-eight".