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45154340 = 225711109269
BaseRepresentation
bin1010110001000…
…0000000100100
310010222002002222
42230100000210
543024414330
64251451512
71055543210
oct254200044
9103862088
1045154340
1123541140
1213156b98
13947c95a
145dd5940
153e6e0e5
hex2b10024

45154340 has 96 divisors (see below), whose sum is σ = 119750400. Its totient is φ = 13893120.

The previous prime is 45154337. The next prime is 45154349. The reversal of 45154340 is 4345154.

It is not an unprimeable number, because it can be changed into a prime (45154349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167726 + ... + 167994.

It is an arithmetic number, because the mean of its divisors is an integer number (1247400).

Almost surely, 245154340 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 45154340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59875200).

45154340 is an abundant number, since it is smaller than the sum of its proper divisors (74596060).

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

45154340 is a wasteful number, since it uses less digits than its factorization.

45154340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 45154340 is about 6719.6979098766. The cubic root of 45154340 is about 356.0955115525.

Adding to 45154340 its reverse (4345154), we get a palindrome (49499494).

The spelling of 45154340 in words is "forty-five million, one hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 109 110 140 154 218 220 269 308 385 436 538 545 763 770 1076 1090 1199 1345 1526 1540 1883 2180 2398 2690 2959 3052 3766 3815 4796 5380 5918 5995 7532 7630 8393 9415 11836 11990 14795 15260 16786 18830 20713 23980 29321 29590 33572 37660 41426 41965 58642 59180 82852 83930 103565 117284 146605 167860 205247 207130 293210 322531 410494 414260 586420 645062 820988 1026235 1290124 1612655 2052470 2257717 3225310 4104940 4515434 6450620 9030868 11288585 22577170 45154340