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45050688 = 263329231
BaseRepresentation
bin1010101111011…
…0101101000000
310010202210221000
42223312231000
543013110223
64245332000
71054632054
oct253665500
9103683830
1045050688
1123480281
1213107000
139444717
145da9c64
153e4d543
hex2af6b40

45050688 has 168 divisors, whose sum is σ = 141589760. Its totient is φ = 14031360.

The previous prime is 45050671. The next prime is 45050741. The reversal of 45050688 is 88605054.

It is a happy number.

45050688 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 (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1453233 + ... + 1453263.

Almost surely, 245050688 is an apocalyptic number.

45050688 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 45050688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70794880).

45050688 is an abundant number, since it is smaller than the sum of its proper divisors (96539072).

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

45050688 is a wasteful number, since it uses less digits than its factorization.

45050688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 45050688 is about 6711.9809296511. The cubic root of 45050688 is about 355.8228298243.

The spelling of 45050688 in words is "forty-five million, fifty thousand, six hundred eighty-eight".