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45143800 = 23521397179
BaseRepresentation
bin1010110000110…
…1011011111000
310010221112122121
42230031123320
543024100200
64251331024
71055500402
oct254153370
9103845577
1045143800
1123534229
1213150a74
139477c10
145dd1b72
153e6ae1a
hex2b0d6f8

45143800 has 96 divisors (see below), whose sum is σ = 114836400. Its totient is φ = 16404480.

The previous prime is 45143797. The next prime is 45143809. The reversal of 45143800 is 834154.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45143809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252111 + ... + 252289.

Almost surely, 245143800 is an apocalyptic number.

45143800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45143800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57418200).

45143800 is an abundant number, since it is smaller than the sum of its proper divisors (69692600).

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

45143800 is a wasteful number, since it uses less digits than its factorization.

45143800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 45143800 is about 6718.9136026593. The cubic root of 45143800 is about 356.0678025972.

Adding to 45143800 its reverse (834154), we get a palindrome (45977954).

The spelling of 45143800 in words is "forty-five million, one hundred forty-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 97 100 104 130 179 194 200 260 325 358 388 485 520 650 716 776 895 970 1261 1300 1432 1790 1940 2327 2425 2522 2600 3580 3880 4475 4654 4850 5044 6305 7160 8950 9308 9700 10088 11635 12610 17363 17900 18616 19400 23270 25220 31525 34726 35800 46540 50440 58175 63050 69452 86815 93080 116350 126100 138904 173630 225719 232700 252200 347260 434075 451438 465400 694520 868150 902876 1128595 1736300 1805752 2257190 3472600 4514380 5642975 9028760 11285950 22571900 45143800