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47077040 = 245588463
BaseRepresentation
bin1011001110010…
…1011010110000
310021120202120002
42303211122300
544022431130
64401005132
71111101563
oct263453260
9107522502
1047077040
112463474a
12139237a8
1399a3b4a
1463764da
1541edb45
hex2ce56b0

47077040 has 20 divisors (see below), whose sum is σ = 109454304. Its totient is φ = 18830784.

The previous prime is 47077031. The next prime is 47077049. The reversal of 47077040 is 4077074.

47077040 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 (47077031) and next prime (47077049).

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 47076994 and 47077012.

It is not an unprimeable number, because it can be changed into a prime (47077049) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 294152 + ... + 294311.

Almost surely, 247077040 is an apocalyptic number.

47077040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47077040 is an abundant number, since it is smaller than the sum of its proper divisors (62377264).

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

47077040 is a wasteful number, since it uses less digits than its factorization.

47077040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588476 (or 588470 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 29.

The square root of 47077040 is about 6861.2710192792. The cubic root of 47077040 is about 361.0796804903.

The spelling of 47077040 in words is "forty-seven million, seventy-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 588463 1176926 2353852 2942315 4707704 5884630 9415408 11769260 23538520 47077040