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45513630 = 23351011669
BaseRepresentation
bin1010110110011…
…1101110011110
310011122022222000
42231213232132
543122414010
64303303130
71061600541
oct255475636
9104568860
1045513630
1123767078
12132aaaa6
139577356
14608a858
153ee07c0
hex2b67b9e

45513630 has 64 divisors (see below), whose sum is σ = 122644800. Its totient is φ = 12009600.

The previous prime is 45513623. The next prime is 45513647. The reversal of 45513630 is 3631554.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 45513594 and 45513603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26436 + ... + 28104.

It is an arithmetic number, because the mean of its divisors is an integer number (1916325).

Almost surely, 245513630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45513630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61322400).

45513630 is an abundant number, since it is smaller than the sum of its proper divisors (77131170).

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

45513630 is a wasteful number, since it uses less digits than its factorization.

45513630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 45513630 is about 6746.3790287828. The cubic root of 45513630 is about 357.0374934141.

The spelling of 45513630 in words is "forty-five million, five hundred thirteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 101 135 202 270 303 505 606 909 1010 1515 1669 1818 2727 3030 3338 4545 5007 5454 8345 9090 10014 13635 15021 16690 25035 27270 30042 45063 50070 75105 90126 150210 168569 225315 337138 450630 505707 842845 1011414 1517121 1685690 2528535 3034242 4551363 5057070 7585605 9102726 15171210 22756815 45513630