[go: up one dir, main page]

Search a number
-
+
45023748 = 22372116961
BaseRepresentation
bin1010101111000…
…0001000000100
310010201102222020
42223300020010
543011224443
64245003140
71054460400
oct253601004
9103642866
1045023748
1123462010
12130b34b0
139435393
145da0100
153e45583
hex2af0204

45023748 has 72 divisors (see below), whose sum is σ = 133336224. Its totient is φ = 11692800.

The previous prime is 45023731. The next prime is 45023753. The reversal of 45023748 is 84732054.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2988 + ... + 9948.

It is an arithmetic number, because the mean of its divisors is an integer number (1851892).

Almost surely, 245023748 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 45023748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66668112).

45023748 is an abundant number, since it is smaller than the sum of its proper divisors (88312476).

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

45023748 is a wasteful number, since it uses less digits than its factorization.

45023748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6993 (or 6984 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 45023748 is about 6709.9737704405. The cubic root of 45023748 is about 355.7518891509.

The spelling of 45023748 in words is "forty-five million, twenty-three thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 924 1078 1617 2156 3234 6468 6961 13922 20883 27844 41766 48727 76571 83532 97454 146181 153142 194908 229713 292362 306284 341089 459426 535997 584724 682178 918852 1023267 1071994 1364356 1607991 2046534 2143988 3215982 3751979 4093068 6431964 7503958 11255937 15007916 22511874 45023748