Search a number
-
+
45057012 = 22371131331
BaseRepresentation
bin1010101111100…
…0001111110100
310010210010121020
42223320033310
543013311022
64245421140
71054656360
oct253701764
9103703536
1045057012
1123485000
121310a7b0
139447570
145dac2a0
153e5035c
hex2af83f4

45057012 has 192 divisors, whose sum is σ = 146915328. Its totient is φ = 10454400.

The previous prime is 45057011. The next prime is 45057029. The reversal of 45057012 is 21075054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45057011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1453437 + ... + 1453467.

It is an arithmetic number, because the mean of its divisors is an integer number (765184).

Almost surely, 245057012 is an apocalyptic number.

45057012 is a gapful number since it is divisible by the number (42) 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 45057012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73457664).

45057012 is an abundant number, since it is smaller than the sum of its proper divisors (101858316).

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

45057012 is a wasteful number, since it uses less digits than its factorization.

45057012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 45057012 is about 6712.4520110016. The cubic root of 45057012 is about 355.8394786140.

The spelling of 45057012 in words is "forty-five million, fifty-seven thousand, twelve".