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45796608 = 28321113139
BaseRepresentation
bin1010111010110…
…0110100000000
310012011201010200
42232230310000
543210442413
64313325200
71064156544
oct256546400
9105151120
1045796608
112393a740
1213406800
1396460b0
146121a24
154049573
hex2bacd00

45796608 has 216 divisors, whose sum is σ = 156243360. Its totient is φ = 12718080.

The previous prime is 45796607. The next prime is 45796609. The reversal of 45796608 is 80669754.

It is an interprime number because it is at equal distance from previous prime (45796607) and next prime (45796609).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45796603) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 329403 + ... + 329541.

Almost surely, 245796608 is an apocalyptic number.

45796608 is a gapful number since it is divisible by the number (48) 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 45796608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78121680).

45796608 is an abundant number, since it is smaller than the sum of its proper divisors (110446752).

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

45796608 is a wasteful number, since it uses less digits than its factorization.

45796608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 45796608 is about 6767.3191146864. The cubic root of 45796608 is about 357.7759175289.

The spelling of 45796608 in words is "forty-five million, seven hundred ninety-six thousand, six hundred eight".