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45140628 = 22313232547
BaseRepresentation
bin1010110000110…
…0101010010100
310010221101022010
42230030222110
543024000003
64251304220
71055455221
oct254145224
9103841263
1045140628
1123531905
121314b070
139476640
145dd0948
153e6a003
hex2b0ca94

45140628 has 72 divisors (see below), whose sum is σ = 118793248. Its totient is φ = 13261248.

The previous prime is 45140611. The next prime is 45140639. The reversal of 45140628 is 82604154.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 45140595 and 45140604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82251 + ... + 82797.

Almost surely, 245140628 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 45140628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59396624).

45140628 is an abundant number, since it is smaller than the sum of its proper divisors (73652620).

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

45140628 is a wasteful number, since it uses less digits than its factorization.

45140628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 45140628 is about 6718.6775484466. The cubic root of 45140628 is about 356.0594627770.

The spelling of 45140628 in words is "forty-five million, one hundred forty thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 529 547 598 897 1058 1094 1196 1587 1641 1794 2116 2188 3174 3282 3588 6348 6564 6877 7111 12581 13754 14222 20631 21333 25162 27508 28444 37743 41262 42666 50324 75486 82524 85332 150972 163553 289363 327106 490659 578726 654212 868089 981318 1157452 1736178 1962636 3472356 3761719 7523438 11285157 15046876 22570314 45140628