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46488006 = 234733931
BaseRepresentation
bin1011000101010…
…1100111000110
310020110211120000
42301111213012
543400104011
64340222130
71103066355
oct261254706
9106424500
1046488006
1124272144
121369a946
1398289c6
14626199c
154134356
hex2c559c6

46488006 has 40 divisors (see below), whose sum is σ = 105621384. Its totient is φ = 15279840.

The previous prime is 46487999. The next prime is 46488007. The reversal of 46488006 is 60088464.

46488006 is a `hidden beast` number, since 4 + 648 + 8 + 0 + 0 + 6 = 666.

46488006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×464880062 = 4322269403712072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46488007) 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 19 ways as a sum of consecutive naturals, for example, 9861 + ... + 13791.

Almost surely, 246488006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46488006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52810692).

46488006 is an abundant number, since it is smaller than the sum of its proper divisors (59133378).

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

46488006 is a wasteful number, since it uses less digits than its factorization.

46488006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4018 (or 4009 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 46488006 is about 6818.2113490270. The cubic root of 46488006 is about 359.5673970268.

The spelling of 46488006 in words is "forty-six million, four hundred eighty-eight thousand, six".

Divisors: 1 2 3 6 9 18 27 54 73 81 146 162 219 438 657 1314 1971 3931 3942 5913 7862 11793 11826 23586 35379 70758 106137 212274 286963 318411 573926 636822 860889 1721778 2582667 5165334 7748001 15496002 23244003 46488006