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45274680 = 233351137103
BaseRepresentation
bin1010110010110…
…1011000111000
310011012012012000
42230231120320
543042242210
64254221000
71056554103
oct254553070
9104165160
1045274680
11236135a0
12131b4760
1394c2669
14602773a
153e94ac0
hex2b2d638

45274680 has 256 divisors, whose sum is σ = 170726400. Its totient is φ = 10575360.

The previous prime is 45274651. The next prime is 45274687. The reversal of 45274680 is 8647254.

45274680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45274687) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 439509 + ... + 439611.

It is an arithmetic number, because the mean of its divisors is an integer number (666900).

Almost surely, 245274680 is an apocalyptic number.

45274680 is a gapful number since it is divisible by the number (40) 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 45274680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85363200).

45274680 is an abundant number, since it is smaller than the sum of its proper divisors (125451720).

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

45274680 is a wasteful number, since it uses less digits than its factorization.

45274680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 45274680 is about 6728.6462234241. The cubic root of 45274680 is about 356.4115721395.

It can be divided in two parts, 45274 and 680, that added together give a palindrome (45954).

The spelling of 45274680 in words is "forty-five million, two hundred seventy-four thousand, six hundred eighty".