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46883968 = 271572333
BaseRepresentation
bin1011001011011…
…0010010000000
310021012221201021
42302312102000
544000241333
64352515224
71106335645
oct262662200
9107187637
1046883968
112451268a
121384bb14
139936cc1
146325dcc
1541b182d
hex2cb6480

46883968 has 32 divisors (see below), whose sum is σ = 94036860. Its totient is φ = 23282688.

The previous prime is 46883953. The next prime is 46883971. The reversal of 46883968 is 86938864.

It can be written as a sum of positive squares in 2 ways, for example, as 45265984 + 1617984 = 6728^2 + 1272^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18930 + ... + 21262.

Almost surely, 246883968 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 46883968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47018430).

46883968 is an abundant number, since it is smaller than the sum of its proper divisors (47152892).

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

46883968 is a wasteful number, since it uses less digits than its factorization.

46883968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504 (or 2492 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 52.

The square root of 46883968 is about 6847.1868676121. The cubic root of 46883968 is about 360.5853850558.

The spelling of 46883968 in words is "forty-six million, eight hundred eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 157 314 628 1256 2333 2512 4666 5024 9332 10048 18664 20096 37328 74656 149312 298624 366281 732562 1465124 2930248 5860496 11720992 23441984 46883968