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46889064 = 2333375867
BaseRepresentation
bin1011001011011…
…1100001101000
310021020012201000
42302313201220
544000422224
64352555000
71106356545
oct262674150
9107205630
1046889064
11245164a2
1213852a60
139939411
146327bcc
1541b30c9
hex2cb7868

46889064 has 64 divisors (see below), whose sum is σ = 133790400. Its totient is φ = 15204672.

The previous prime is 46889057. The next prime is 46889113. The reversal of 46889064 is 46098864.

It is a happy number.

46889064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 5059 + ... + 10925.

It is an arithmetic number, because the mean of its divisors is an integer number (2090475).

Almost surely, 246889064 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 46889064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66895200).

46889064 is an abundant number, since it is smaller than the sum of its proper divisors (86901336).

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

46889064 is a wasteful number, since it uses less digits than its factorization.

46889064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5919 (or 5909 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 46889064 is about 6847.5589811260. The cubic root of 46889064 is about 360.5984490563.

The spelling of 46889064 in words is "forty-six million, eight hundred eighty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1998 2664 3996 5867 7992 11734 17601 23468 35202 46936 52803 70404 105606 140808 158409 211212 217079 316818 422424 434158 633636 651237 868316 1267272 1302474 1736632 1953711 2604948 3907422 5209896 5861133 7814844 11722266 15629688 23444532 46889064