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45224352 = 2533173079
BaseRepresentation
bin1010110010000…
…1000110100000
310011002122011000
42230201012200
543034134402
64253152000
71056254265
oct254410640
9104078130
1045224352
11235897a8
121318b600
1394a5794
14601326c
153e84c1c
hex2b211a0

45224352 has 96 divisors (see below), whose sum is σ = 139708800. Its totient is φ = 14183424.

The previous prime is 45224327. The next prime is 45224359. The reversal of 45224352 is 25342254.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (45224359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13149 + ... + 16227.

It is an arithmetic number, because the mean of its divisors is an integer number (1455300).

Almost surely, 245224352 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 45224352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69854400).

45224352 is an abundant number, since it is smaller than the sum of its proper divisors (94484448).

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

45224352 is a wasteful number, since it uses less digits than its factorization.

45224352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115 (or 3101 counting only the distinct ones).

The product of its digits is 9600, while the sum is 27.

The square root of 45224352 is about 6724.9053524938. The cubic root of 45224352 is about 356.2794590597.

The spelling of 45224352 in words is "forty-five million, two hundred twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3079 3672 4896 6158 7344 9237 12316 14688 18474 24632 27711 36948 49264 52343 55422 73896 83133 98528 104686 110844 147792 157029 166266 209372 221688 295584 314058 332532 418744 443376 471087 628116 665064 837488 886752 942174 1256232 1330128 1413261 1674976 1884348 2512464 2660256 2826522 3768696 5024928 5653044 7537392 11306088 15074784 22612176 45224352