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5056474000 = 24537932003
BaseRepresentation
bin1001011010110001…
…11010101110010000
3111001101122111022211
410231120322232100
540323424132000
62153425441504
7236206214464
oct45530725620
914041574284
105056474000
11216527a836
12b914a0294
13627772966
1435d7a24a4
151e8dae7ba
hex12d63ab90

5056474000 has 80 divisors (see below), whose sum is σ = 12381707520. Its totient is φ = 1996924800.

The previous prime is 5056473979. The next prime is 5056474001. The reversal of 5056474000 is 4746505.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5056474001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141999 + ... + 174001.

It is an arithmetic number, because the mean of its divisors is an integer number (154771344).

Almost surely, 25056474000 is an apocalyptic number.

5056474000 is a gapful number since it is divisible by the number (50) 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 5056474000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6190853760).

5056474000 is an abundant number, since it is smaller than the sum of its proper divisors (7325233520).

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

5056474000 is a wasteful number, since it uses less digits than its factorization.

5056474000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32105 (or 32089 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 5056474000 is about 71108.8883333160. Note that the first 3 decimals coincide. The cubic root of 5056474000 is about 1716.3898046398.

The spelling of 5056474000 in words is "five billion, fifty-six million, four hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 79 80 100 125 158 200 250 316 395 400 500 632 790 1000 1264 1580 1975 2000 3160 3950 6320 7900 9875 15800 19750 31600 32003 39500 64006 79000 128012 158000 160015 256024 320030 512048 640060 800075 1280120 1600150 2528237 2560240 3200300 4000375 5056474 6400600 8000750 10112948 12641185 12801200 16001500 20225896 25282370 32003000 40451792 50564740 63205925 64006000 101129480 126411850 202258960 252823700 316029625 505647400 632059250 1011294800 1264118500 2528237000 5056474000