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45366948 = 2232111723293
BaseRepresentation
bin1010110100001…
…1111010100100
310011100212202100
42231003322210
543103220243
64300212100
71060420104
oct255037244
9104325670
1045366948
1123676950
121323a030
139525663
14604d204
153eb20d3
hex2b43ea4

45366948 has 144 divisors (see below), whose sum is σ = 138692736. Its totient is φ = 12334080.

The previous prime is 45366947. The next prime is 45366953. The reversal of 45366948 is 84966354.

45366948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45366943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154690 + ... + 154982.

It is an arithmetic number, because the mean of its divisors is an integer number (963144).

Almost surely, 245366948 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 45366948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69346368).

45366948 is an abundant number, since it is smaller than the sum of its proper divisors (93325788).

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

45366948 is a wasteful number, since it uses less digits than its factorization.

45366948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 349 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 45366948 is about 6735.4990906391. The cubic root of 45366948 is about 356.6535253939.

The spelling of 45366948 in words is "forty-five million, three hundred sixty-six thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 23 33 34 36 44 46 51 66 68 69 92 99 102 132 138 153 187 198 204 207 253 276 293 306 374 391 396 414 506 561 586 612 748 759 782 828 879 1012 1122 1172 1173 1518 1564 1683 1758 2244 2277 2346 2637 3036 3223 3366 3516 3519 4301 4554 4692 4981 5274 6446 6732 6739 7038 8602 9108 9669 9962 10548 12892 12903 13478 14076 14943 17204 19338 19924 20217 25806 26956 29007 29886 38676 38709 40434 44829 51612 54791 58014 59772 60651 74129 77418 80868 89658 109582 114563 116028 121302 148258 154836 164373 179316 219164 222387 229126 242604 296516 328746 343689 444774 458252 493119 657492 667161 687378 889548 986238 1031067 1260193 1334322 1374756 1972476 2062134 2520386 2668644 3780579 4124268 5040772 7561158 11341737 15122316 22683474 45366948