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45817380 = 223357172331
BaseRepresentation
bin1010111011000…
…1111000100100
310012012202122000
42232301320210
543212124010
64314005300
71064304240
oct256617044
9105182560
1045817380
1123954304
1213416830
13965269b
146129420
1540507c0
hex2bb1e24

45817380 has 384 divisors, whose sum is σ = 185794560. Its totient is φ = 9123840.

The previous prime is 45817367. The next prime is 45817391. The reversal of 45817380 is 8371854.

45817380 is a `hidden beast` number, since 4 + 581 + 73 + 8 + 0 = 666.

45817380 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 127 ways as a sum of consecutive naturals, for example, 1477965 + ... + 1477995.

It is an arithmetic number, because the mean of its divisors is an integer number (483840).

Almost surely, 245817380 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 45817380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92897280).

45817380 is an abundant number, since it is smaller than the sum of its proper divisors (139977180).

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

45817380 is a wasteful number, since it uses less digits than its factorization.

45817380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 45817380 is about 6768.8536695662. The cubic root of 45817380 is about 357.8300015784.

The spelling of 45817380 in words is "forty-five million, eight hundred seventeen thousand, three hundred eighty".