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47001144 = 2332385147
BaseRepresentation
bin1011001101001…
…0111000111000
310021102220110010
42303102320320
544013014034
64355221520
71110334401
oct263227070
9107386403
1047001144
1124592723
12138a78a0
139978438
1463569a8
1541d63e9
hex2cd2e38

47001144 has 32 divisors (see below), whose sum is σ = 122613120. Its totient is φ = 14985696.

The previous prime is 47001131. The next prime is 47001151. The reversal of 47001144 is 44110074.

47001144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 47001144.

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 7 ways as a sum of consecutive naturals, for example, 42022 + ... + 43125.

It is an arithmetic number, because the mean of its divisors is an integer number (3831660).

Almost surely, 247001144 is an apocalyptic number.

It is an amenable number.

47001144 is an abundant number, since it is smaller than the sum of its proper divisors (75611976).

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

47001144 is a wasteful number, since it uses less digits than its factorization.

47001144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85179 (or 85175 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 47001144 is about 6855.7380346685. The cubic root of 47001144 is about 360.8855360022.

The spelling of 47001144 in words is "forty-seven million, one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 85147 170294 255441 340588 510882 681176 1021764 1958381 2043528 3916762 5875143 7833524 11750286 15667048 23500572 47001144