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45706240 = 210579113
BaseRepresentation
bin1010111001011…
…0110000000000
310012000010011201
42232112300000
543200044430
64311350544
71063332226
oct256266000
9105003151
1045706240
1123888858
1213382454
139613c18
1460dab16
15402c8ca
hex2b96c00

45706240 has 88 divisors (see below), whose sum is σ = 112011840. Its totient is φ = 17891328.

The previous prime is 45706201. The next prime is 45706253. The reversal of 45706240 is 4260754.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 45706199 and 45706208.

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, 404424 + ... + 404536.

Almost surely, 245706240 is an apocalyptic number.

45706240 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 45706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56005920).

45706240 is an abundant number, since it is smaller than the sum of its proper divisors (66305600).

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

45706240 is a wasteful number, since it uses less digits than its factorization.

45706240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 45706240 is about 6760.6390230510. The cubic root of 45706240 is about 357.5404358716.

Adding to 45706240 its reverse (4260754), we get a palindrome (49966994).

The spelling of 45706240 in words is "forty-five million, seven hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 113 128 158 160 226 256 316 320 395 452 512 565 632 640 790 904 1024 1130 1264 1280 1580 1808 2260 2528 2560 3160 3616 4520 5056 5120 6320 7232 8927 9040 10112 12640 14464 17854 18080 20224 25280 28928 35708 36160 40448 44635 50560 57856 71416 72320 80896 89270 101120 115712 142832 144640 178540 202240 285664 289280 357080 404480 571328 578560 714160 1142656 1428320 2285312 2856640 4570624 5713280 9141248 11426560 22853120 45706240