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45490368 = 26371117181
BaseRepresentation
bin1010110110001…
…0000011000000
310011121011001110
42231202003000
543121142433
64303003320
71061442660
oct255420300
9104534043
1045490368
1123750650
1213299540
1395698a1
1460821a0
153ed8963
hex2b620c0

45490368 has 224 divisors, whose sum is σ = 159763968. Its totient is φ = 11059200.

The previous prime is 45490349. The next prime is 45490373. The reversal of 45490368 is 86309454.

It is a tau number, because it is divible by the number of its divisors (224).

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, 251238 + ... + 251418.

It is an arithmetic number, because the mean of its divisors is an integer number (713232).

Almost surely, 245490368 is an apocalyptic number.

45490368 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 45490368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79881984).

45490368 is an abundant number, since it is smaller than the sum of its proper divisors (114273600).

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

45490368 is a wasteful number, since it uses less digits than its factorization.

45490368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 45490368 is about 6744.6547724847. The cubic root of 45490368 is about 356.9766558032.

The spelling of 45490368 in words is "forty-five million, four hundred ninety thousand, three hundred sixty-eight".