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46913064 = 233111710453
BaseRepresentation
bin1011001011110…
…1011000101000
310021021102121220
42302331120220
544002204224
64353302040
71106516532
oct262753050
9107242556
1046913064
1124532530
1213864920
139947313
146332852
1541ba279
hex2cbd628

46913064 has 64 divisors (see below), whose sum is σ = 135483840. Its totient is φ = 13378560.

The previous prime is 46913063. The next prime is 46913099. The reversal of 46913064 is 46031964.

46913064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (46913063) 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 15 ways as a sum of consecutive naturals, for example, 739 + ... + 9714.

It is an arithmetic number, because the mean of its divisors is an integer number (2116935).

Almost surely, 246913064 is an apocalyptic number.

46913064 is a gapful number since it is divisible by the number (44) 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 46913064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67741920).

46913064 is an abundant number, since it is smaller than the sum of its proper divisors (88570776).

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

46913064 is a wasteful number, since it uses less digits than its factorization.

46913064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10490 (or 10486 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 46913064 is about 6849.3112062455. The cubic root of 46913064 is about 360.6599622386.

The spelling of 46913064 in words is "forty-six million, nine hundred thirteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 4488 10453 20906 31359 41812 62718 83624 114983 125436 177701 229966 250872 344949 355402 459932 533103 689898 710804 919864 1066206 1379796 1421608 1954711 2132412 2759592 3909422 4264824 5864133 7818844 11728266 15637688 23456532 46913064