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45194464 = 2572193741
BaseRepresentation
bin1010110001100…
…1110011100000
310011001010011001
42230121303200
543032210324
64252401344
71056101200
oct254316340
9104033131
1045194464
11235692a7
1213176254
139494cb3
146006400
153e7ae44
hex2b19ce0

45194464 has 144 divisors (see below), whose sum is σ = 114624720. Its totient is φ = 17418240.

The previous prime is 45194459. The next prime is 45194477. The reversal of 45194464 is 46449154.

45194464 is nontrivially palindromic in base 3.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1102284 + ... + 1102324.

It is an arithmetic number, because the mean of its divisors is an integer number (796005).

Almost surely, 245194464 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 45194464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57312360).

45194464 is an abundant number, since it is smaller than the sum of its proper divisors (69430256).

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

45194464 is a wasteful number, since it uses less digits than its factorization.

45194464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 106 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 45194464 is about 6722.6827978122. The cubic root of 45194464 is about 356.2009554316.

The spelling of 45194464 in words is "forty-five million, one hundred ninety-four thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 37 38 41 49 56 74 76 82 98 112 133 148 152 164 196 224 259 266 287 296 304 328 392 518 532 574 592 608 656 703 779 784 931 1036 1064 1148 1184 1312 1406 1517 1558 1568 1813 1862 2009 2072 2128 2296 2812 3034 3116 3626 3724 4018 4144 4256 4592 4921 5453 5624 6068 6232 7252 7448 8036 8288 9184 9842 10619 10906 11248 12136 12464 14504 14896 16072 19684 21238 21812 22496 24272 24928 28823 29008 29792 32144 34447 38171 39368 42476 43624 48544 57646 58016 64288 68894 74333 76342 78736 84952 87248 115292 137788 148666 152684 157472 169904 174496 201761 230584 275576 297332 305368 339808 403522 461168 551152 594664 610736 807044 922336 1102304 1189328 1221472 1412327 1614088 2378656 2824654 3228176 5649308 6456352 11298616 22597232 45194464