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47004272 = 2472371257
BaseRepresentation
bin1011001101001…
…1101001110000
310021110001201222
42303103221300
544013114042
64355244212
71110346460
oct263235160
9107401658
1047004272
1124595007
12138a9668
1399799a3
146357ba0
1541d72d2
hex2cd3a70

47004272 has 80 divisors (see below), whose sum is σ = 110564352. Its totient is φ = 18923520.

The previous prime is 47004263. The next prime is 47004281. The reversal of 47004272 is 27240074.

47004272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47004263) and next prime (47004281).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 182768 + ... + 183024.

Almost surely, 247004272 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 47004272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55282176).

47004272 is an abundant number, since it is smaller than the sum of its proper divisors (63560080).

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

47004272 is a wasteful number, since it uses less digits than its factorization.

47004272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 47004272 is about 6855.9661609433. The cubic root of 47004272 is about 360.8935416578.

The spelling of 47004272 in words is "forty-seven million, four thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 71 92 112 142 161 184 257 284 322 368 497 514 568 644 994 1028 1136 1288 1633 1799 1988 2056 2576 3266 3598 3976 4112 5911 6532 7196 7952 11431 11822 13064 14392 18247 22862 23644 26128 28784 36494 41377 45724 47288 72988 82754 91448 94576 127729 145976 165508 182896 255458 291952 331016 419681 510916 662032 839362 1021832 1678724 2043664 2937767 3357448 5875534 6714896 11751068 23502136 47004272