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47085720 = 23351135671
BaseRepresentation
bin1011001110011…
…1100010011000
310021121012110120
42303213202120
544023220340
64401113240
71111136103
oct263474230
9107535416
1047085720
1124640220
1213928820
1399a7a96
14637973a
1542014d0
hex2ce7898

47085720 has 64 divisors (see below), whose sum is σ = 154103040. Its totient is φ = 11414400.

The previous prime is 47085673. The next prime is 47085739. The reversal of 47085720 is 2758074.

47085720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 16516 + ... + 19155.

It is an arithmetic number, because the mean of its divisors is an integer number (2407860).

Almost surely, 247085720 is an apocalyptic number.

47085720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47085720 is an abundant number, since it is smaller than the sum of its proper divisors (107017320).

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

47085720 is a wasteful number, since it uses less digits than its factorization.

47085720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35696 (or 35692 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 47085720 is about 6861.9035259904. The cubic root of 47085720 is about 361.1018709185.

The spelling of 47085720 in words is "forty-seven million, eighty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 35671 71342 107013 142684 178355 214026 285368 356710 392381 428052 535065 713420 784762 856104 1070130 1177143 1426840 1569524 1961905 2140260 2354286 3139048 3923810 4280520 4708572 5885715 7847620 9417144 11771430 15695240 23542860 47085720