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45642030 = 2357261509
BaseRepresentation
bin1010111000011…
…1000100101110
310011212212002120
42232013010232
543141021110
64310133410
71062644100
oct256070456
9104785076
1045642030
1123844595
1213351266
1395c0925
1460c1570
154018870
hex2b8712e

45642030 has 96 divisors (see below), whose sum is σ = 129768480. Its totient is φ = 10241280.

The previous prime is 45642019. The next prime is 45642073. The reversal of 45642030 is 3024654.

45642030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 89416 + ... + 89924.

It is an arithmetic number, because the mean of its divisors is an integer number (1351755).

Almost surely, 245642030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45642030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64884240).

45642030 is an abundant number, since it is smaller than the sum of its proper divisors (84126450).

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

45642030 is a wasteful number, since it uses less digits than its factorization.

45642030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 45642030 is about 6755.8885425975. Note that the first 3 decimals coincide. The cubic root of 45642030 is about 357.3729282518.

Adding to 45642030 its reverse (3024654), we get a palindrome (48666684).

It can be divided in two parts, 456 and 42030, that added together give a triangular number (42486 = T291).

The spelling of 45642030 in words is "forty-five million, six hundred forty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 61 70 98 105 122 147 183 210 245 294 305 366 427 490 509 610 735 854 915 1018 1281 1470 1527 1830 2135 2545 2562 2989 3054 3563 4270 5090 5978 6405 7126 7635 8967 10689 12810 14945 15270 17815 17934 21378 24941 29890 31049 35630 44835 49882 53445 62098 74823 89670 93147 106890 124705 149646 155245 186294 217343 249410 310490 374115 434686 465735 652029 748230 931470 1086715 1304058 1521401 2173430 3042802 3260145 4564203 6520290 7607005 9128406 15214010 22821015 45642030