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47002000 = 245371331
BaseRepresentation
bin1011001101001…
…1000110010000
310021102221121211
42303103012100
544013031000
64355225504
71110340033
oct263230620
9107387554
1047002000
1124593331
12138a8294
139978946
14635701a
1541d67ba
hex2cd3190

47002000 has 80 divisors (see below), whose sum is σ = 115599744. Its totient is φ = 18480000.

The previous prime is 47001973. The next prime is 47002003. The reversal of 47002000 is 20074.

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

It is not an unprimeable number, because it can be changed into a prime (47002003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141835 + ... + 142165.

Almost surely, 247002000 is an apocalyptic number.

47002000 is a gapful number since it is divisible by the number (40) 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 47002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57799872).

47002000 is an abundant number, since it is smaller than the sum of its proper divisors (68597744).

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

47002000 is a wasteful number, since it uses less digits than its factorization.

47002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 47002000 is about 6855.8004638408. The cubic root of 47002000 is about 360.8877268435.

Adding to 47002000 its reverse (20074), we get a palindrome (47022074).

The spelling of 47002000 in words is "forty-seven million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 125 142 200 250 284 331 355 400 500 568 662 710 1000 1136 1324 1420 1655 1775 2000 2648 2840 3310 3550 5296 5680 6620 7100 8275 8875 13240 14200 16550 17750 23501 26480 28400 33100 35500 41375 47002 66200 71000 82750 94004 117505 132400 142000 165500 188008 235010 331000 376016 470020 587525 662000 940040 1175050 1880080 2350100 2937625 4700200 5875250 9400400 11750500 23501000 47002000