Search a number
-
+
45235080 = 233251111423
BaseRepresentation
bin1010110010001…
…1101110001000
310011010011212100
42230203232020
543040010310
64253313400
71056330462
oct254435610
9104104770
1045235080
1123596870
1213195860
1394aa627
146017132
153e87ec0
hex2b23b88

45235080 has 96 divisors (see below), whose sum is σ = 160392960. Its totient is φ = 10965120.

The previous prime is 45235063. The next prime is 45235081. The reversal of 45235080 is 8053254.

It is not an unprimeable number, because it can be changed into a prime (45235081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1752 + ... + 9671.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 245235080 is an apocalyptic number.

45235080 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 45235080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80196480).

45235080 is an abundant number, since it is smaller than the sum of its proper divisors (115157880).

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

45235080 is a wasteful number, since it uses less digits than its factorization.

45235080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11451 (or 11444 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 45235080 is about 6725.7029372401. The cubic root of 45235080 is about 356.3076287197.

The spelling of 45235080 in words is "forty-five million, two hundred thirty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 11423 22846 34269 45692 57115 68538 91384 102807 114230 125653 137076 171345 205614 228460 251306 274152 342690 376959 411228 456920 502612 514035 628265 685380 753918 822456 1005224 1028070 1130877 1256530 1370760 1507836 1884795 2056140 2261754 2513060 3015672 3769590 4112280 4523508 5026120 5654385 7539180 9047016 11308770 15078360 22617540 45235080