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45954945 = 355109347
BaseRepresentation
bin1010111101001…
…1011110000001
310012110202100000
42233103132001
543231024240
64320550213
71065416301
oct257233601
9105422300
1045954945
1123a386a3
1213482369
1396a019a
146163601
15407b430
hex2bd3781

45954945 has 48 divisors (see below), whose sum is σ = 83603520. Its totient is φ = 24214464.

The previous prime is 45954919. The next prime is 45954947. The reversal of 45954945 is 54945954.

It is not a de Polignac number, because 45954945 - 25 = 45954913 is a prime.

It is a super-2 number, since 2×459549452 = 4223713939906050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 45954945.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45954947) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132262 + ... + 132608.

It is an arithmetic number, because the mean of its divisors is an integer number (1741740).

Almost surely, 245954945 is an apocalyptic number.

45954945 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45954945 is a deficient number, since it is larger than the sum of its proper divisors (37648575).

45954945 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (45954944) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (476).

45954945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 464 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 45954945 is about 6779.0076707436. The cubic root of 45954945 is about 358.1877675679.

The spelling of 45954945 in words is "forty-five million, nine hundred fifty-four thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 109 135 243 327 347 405 545 981 1041 1215 1635 1735 2943 3123 4905 5205 8829 9369 14715 15615 26487 28107 37823 44145 46845 84321 113469 132435 140535 189115 340407 421605 567345 1021221 1702035 3063663 5106105 9190989 15318315 45954945