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46482640 = 2453118743
BaseRepresentation
bin1011000101010…
…0010011010000
310020110120012021
42301110103100
543344421030
64340141224
71103044621
oct261242320
9106416167
1046482640
1124269106
1213697814
139826429
14625da48
15413297a
hex2c544d0

46482640 has 40 divisors (see below), whose sum is σ = 111564288. Its totient is φ = 17992320.

The previous prime is 46482617. The next prime is 46482647. The reversal of 46482640 is 4628464.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 46482596 and 46482605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46482647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6892 + ... + 11851.

Almost surely, 246482640 is an apocalyptic number.

46482640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46482640 is an abundant number, since it is smaller than the sum of its proper divisors (65081648).

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

46482640 is a wasteful number, since it uses less digits than its factorization.

46482640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18787 (or 18781 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 46482640 is about 6817.8178327086. The cubic root of 46482640 is about 359.5535618245.

The spelling of 46482640 in words is "forty-six million, four hundred eighty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 18743 37486 74972 93715 149944 187430 299888 374860 581033 749720 1162066 1499440 2324132 2905165 4648264 5810330 9296528 11620660 23241320 46482640