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45803142 = 23272114721
BaseRepresentation
bin1010111010111…
…0011010000110
310012012001002200
42232232122012
543211200032
64313415330
71064214600
oct256563206
9105161080
1045803142
1123944640
121340a546
139649068
146124170
15404b47c
hex2bae686

45803142 has 72 divisors (see below), whose sum is σ = 125964072. Its totient is φ = 11894400.

The previous prime is 45803123. The next prime is 45803161. The reversal of 45803142 is 24130854.

It is an interprime number because it is at equal distance from previous prime (45803123) and next prime (45803161).

It is a super-3 number, since 3×458031423 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7342 + ... + 12062.

It is an arithmetic number, because the mean of its divisors is an integer number (1749501).

Almost surely, 245803142 is an apocalyptic number.

45803142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 45803142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62982036).

45803142 is an abundant number, since it is smaller than the sum of its proper divisors (80160930).

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

45803142 is a wasteful number, since it uses less digits than its factorization.

45803142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4754 (or 4744 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 45803142 is about 6767.8018588017. The cubic root of 45803142 is about 357.7929318653.

Adding to 45803142 its reverse (24130854), we get a palindrome (69933996).

The spelling of 45803142 in words is "forty-five million, eight hundred three thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 154 198 231 294 441 462 539 693 882 1078 1386 1617 3234 4721 4851 9442 9702 14163 28326 33047 42489 51931 66094 84978 99141 103862 155793 198282 231329 297423 311586 363517 462658 467379 594846 693987 727034 934758 1090551 1387974 2081961 2181102 2544619 3271653 4163922 5089238 6543306 7633857 15267714 22901571 45803142