Search a number
-
+
45363348 = 22331492819
BaseRepresentation
bin1010110100001…
…1000010010100
310011100200211000
42231003002110
543103111343
64300143300
71060403442
oct255030224
9104320730
1045363348
1123674178
1213237b30
139523b24
14604bb92
153eb0ed3
hex2b43094

45363348 has 48 divisors (see below), whose sum is σ = 118440000. Its totient is φ = 15014304.

The previous prime is 45363347. The next prime is 45363349. The reversal of 45363348 is 84336354.

It is an interprime number because it is at equal distance from previous prime (45363347) and next prime (45363349).

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 (45363341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14683 + ... + 17501.

It is an arithmetic number, because the mean of its divisors is an integer number (2467500).

Almost surely, 245363348 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 45363348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59220000).

45363348 is an abundant number, since it is smaller than the sum of its proper divisors (73076652).

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

45363348 is a wasteful number, since it uses less digits than its factorization.

45363348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981 (or 2973 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 45363348 is about 6735.2318445618. The cubic root of 45363348 is about 356.6440913109.

The spelling of 45363348 in words is "forty-five million, three hundred sixty-three thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 149 298 447 596 894 1341 1788 2682 2819 4023 5364 5638 8046 8457 11276 16092 16914 25371 33828 50742 76113 101484 152226 304452 420031 840062 1260093 1680124 2520186 3780279 5040372 7560558 11340837 15121116 22681674 45363348