Search a number
-
+
45373440 = 211357211
BaseRepresentation
bin1010110100010…
…1100000000000
310011101012122210
42231011200000
543103422230
64300302120
71060445040
oct255054000
9104335583
1045373440
1123680812
1213241940
1395285b8
146051720
153eb3eb0
hex2b45800

45373440 has 192 divisors, whose sum is σ = 166682880. Its totient is φ = 10321920.

The previous prime is 45373439. The next prime is 45373453. The reversal of 45373440 is 4437354.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 45373398 and 45373407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214935 + ... + 215145.

It is an arithmetic number, because the mean of its divisors is an integer number (868140).

Almost surely, 245373440 is an apocalyptic number.

45373440 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 45373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83341440).

45373440 is an abundant number, since it is smaller than the sum of its proper divisors (121309440).

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

45373440 is a wasteful number, since it uses less digits than its factorization.

45373440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 45373440 is about 6735.9809975979. The cubic root of 45373440 is about 356.6705369287.

The spelling of 45373440 in words is "forty-five million, three hundred seventy-three thousand, four hundred forty".