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45232240 = 2451779421
BaseRepresentation
bin1010110010001…
…1000001110000
310011010000222011
42230203001300
543034412430
64253252304
71056316264
oct254430160
9104100864
1045232240
1123594719
1213194094
1394a9251
1460160a4
153e8722a
hex2b23070

45232240 has 80 divisors (see below), whose sum is σ = 113028480. Its totient is φ = 16773120.

The previous prime is 45232211. The next prime is 45232273. The reversal of 45232240 is 4223254.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107230 + ... + 107650.

It is an arithmetic number, because the mean of its divisors is an integer number (1412856).

Almost surely, 245232240 is an apocalyptic number.

45232240 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 45232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56514240).

45232240 is an abundant number, since it is smaller than the sum of its proper divisors (67796240).

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

45232240 is a wasteful number, since it uses less digits than its factorization.

45232240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 45232240 is about 6725.4918035784. The cubic root of 45232240 is about 356.3001718606.

Adding to 45232240 its reverse (4223254), we get a palindrome (49455494).

The spelling of 45232240 in words is "forty-five million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 79 80 85 136 158 170 272 316 340 395 421 632 680 790 842 1264 1343 1360 1580 1684 2105 2686 3160 3368 4210 5372 6320 6715 6736 7157 8420 10744 13430 14314 16840 21488 26860 28628 33259 33680 35785 53720 57256 66518 71570 107440 114512 133036 143140 166295 266072 286280 332590 532144 565403 572560 665180 1130806 1330360 2261612 2660720 2827015 4523224 5654030 9046448 11308060 22616120 45232240