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46428096 = 26311131989
BaseRepresentation
bin1011000100011…
…0111111000000
310020100210101010
42301012333000
543341144341
64335040520
71102426611
oct261067700
9106323333
1046428096
1124231130
1213670140
139807660
146247c08
154121716
hex2c46fc0

46428096 has 224 divisors, whose sum is σ = 153619200. Its totient is φ = 12165120.

The previous prime is 46428061. The next prime is 46428149. The reversal of 46428096 is 69082464.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 521620 + ... + 521708.

It is an arithmetic number, because the mean of its divisors is an integer number (685800).

Almost surely, 246428096 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 46428096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76809600).

46428096 is an abundant number, since it is smaller than the sum of its proper divisors (107191104).

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

46428096 is a wasteful number, since it uses less digits than its factorization.

46428096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 46428096 is about 6813.8165516838. The cubic root of 46428096 is about 359.4128701214.

The spelling of 46428096 in words is "forty-six million, four hundred twenty-eight thousand, ninety-six".