Search a number
-
+
45101344 = 2523233263
BaseRepresentation
bin1010110000001…
…1000100100000
310010212101102011
42230003010200
543021220334
64250402304
71055232541
oct254030440
9103771364
1045101344
1123505342
1213130394
1394617b2
145dc04c8
153e5d564
hex2b03120

45101344 has 48 divisors (see below), whose sum is σ = 93405312. Its totient is φ = 21395968.

The previous prime is 45101333. The next prime is 45101363. The reversal of 45101344 is 44310154.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171357 + ... + 171619.

It is an arithmetic number, because the mean of its divisors is an integer number (1945944).

Almost surely, 245101344 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 45101344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46702656).

45101344 is an abundant number, since it is smaller than the sum of its proper divisors (48303968).

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

45101344 is a wasteful number, since it uses less digits than its factorization.

45101344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 45101344 is about 6715.7534201309. The cubic root of 45101344 is about 355.9561449155.

Adding to 45101344 its reverse (44310154), we get a palindrome (89411498).

The spelling of 45101344 in words is "forty-five million, one hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 92 184 233 263 368 466 526 736 932 1052 1864 2104 3728 4208 5359 6049 7456 8416 10718 12098 21436 24196 42872 48392 61279 85744 96784 122558 171488 193568 245116 490232 980464 1409417 1960928 2818834 5637668 11275336 22550672 45101344