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45322992 = 243211133171
BaseRepresentation
bin1010110011100…
…1001011110000
310011021122110100
42230321023300
543100313432
64255232400
71060145001
oct254711360
9104248410
1045322992
1123646920
1213218700
13950b650
14603b1a8
153ea407c
hex2b392f0

45322992 has 240 divisors, whose sum is σ = 155990016. Its totient is φ = 12096000.

The previous prime is 45322973. The next prime is 45323009. The reversal of 45322992 is 29922354.

45322992 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 47 ways as a sum of consecutive naturals, for example, 638317 + ... + 638387.

Almost surely, 245322992 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 45322992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77995008).

45322992 is an abundant number, since it is smaller than the sum of its proper divisors (110667024).

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

45322992 is a wasteful number, since it uses less digits than its factorization.

45322992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 131 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 45322992 is about 6732.2352900058. The cubic root of 45322992 is about 356.5383010661.

The spelling of 45322992 in words is "forty-five million, three hundred twenty-two thousand, nine hundred ninety-two".