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46538080 = 2552391217
BaseRepresentation
bin1011000110000…
…1110101100000
310020120101020121
42301201311200
543403204310
64341250024
71103365351
oct261416540
9106511217
1046538080
11242a6826
1213703914
139845734
146275d28
1541440da
hex2c61d60

46538080 has 48 divisors (see below), whose sum is σ = 110496960. Its totient is φ = 18522112.

The previous prime is 46538077. The next prime is 46538101. The reversal of 46538080 is 8083564.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37632 + ... + 38848.

It is an arithmetic number, because the mean of its divisors is an integer number (2302020).

Almost surely, 246538080 is an apocalyptic number.

46538080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46538080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55248480).

46538080 is an abundant number, since it is smaller than the sum of its proper divisors (63958880).

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

46538080 is a wasteful number, since it uses less digits than its factorization.

46538080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 46538080 is about 6821.8824381544. The cubic root of 46538080 is about 359.6964519425.

The spelling of 46538080 in words is "forty-six million, five hundred thirty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 239 478 956 1195 1217 1912 2390 2434 3824 4780 4868 6085 7648 9560 9736 12170 19120 19472 24340 38240 38944 48680 97360 194720 290863 581726 1163452 1454315 2326904 2908630 4653808 5817260 9307616 11634520 23269040 46538080