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45897696 = 25321322341
BaseRepresentation
bin1010111100010…
…1011111100000
310012100211210200
42233011133200
543222211241
64315425200
71065060345
oct257053740
9105324720
1045897696
11239a9689
1213455200
139680100
14614a7cc
1540694b6
hex2bc57e0

45897696 has 216 divisors, whose sum is σ = 151076016. Its totient is φ = 13178880.

The previous prime is 45897689. The next prime is 45897707. The reversal of 45897696 is 69679854.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1119436 + ... + 1119476.

It is an arithmetic number, because the mean of its divisors is an integer number (699426).

Almost surely, 245897696 is an apocalyptic number.

45897696 is a gapful number since it is divisible by the number (46) 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 45897696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75538008).

45897696 is an abundant number, since it is smaller than the sum of its proper divisors (105178320).

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

45897696 is a wasteful number, since it uses less digits than its factorization.

45897696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 82 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 45897696 is about 6774.7838341898. The cubic root of 45897696 is about 358.0389666604.

The spelling of 45897696 in words is "forty-five million, eight hundred ninety-seven thousand, six hundred ninety-six".