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2047421376 = 2632711135367
BaseRepresentation
bin111101000001001…
…0010101111000000
312021200120210010100
41322002102233000
513143114441001
6535055202400
7101510536350
oct17202225700
95250523110
102047421376
11960796a90
12491816400
1326823bb50
14155cc0b60
15beb2d586
hex7a092bc0

2047421376 has 672 divisors, whose sum is σ = 8147962368. Its totient is φ = 474439680.

The previous prime is 2047421359. The next prime is 2047421377. The reversal of 2047421376 is 6731247402.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2047421376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2047421377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30558495 + ... + 30558561.

It is an arithmetic number, because the mean of its divisors is an integer number (12124944).

Almost surely, 22047421376 is an apocalyptic number.

2047421376 is a gapful number since it is divisible by the number (26) 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 2047421376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4073981184).

2047421376 is an abundant number, since it is smaller than the sum of its proper divisors (6100540992).

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

2047421376 is a wasteful number, since it uses less digits than its factorization.

2047421376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 2047421376 is about 45248.4405919143. The cubic root of 2047421376 is about 1269.8012328685.

Adding to 2047421376 its reverse (6731247402), we get a palindrome (8778668778).

The spelling of 2047421376 in words is "two billion, forty-seven million, four hundred twenty-one thousand, three hundred seventy-six".