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45212700 = 223521311593
BaseRepresentation
bin1010110001111…
…0010000011100
310011002001011110
42230132100130
543033301300
64253022020
71056205311
oct254362034
9104061143
1045212700
1123580a75
1213184910
1394a03a0
14600cd08
153e81550
hex2b1e41c

45212700 has 72 divisors (see below), whose sum is σ = 140890288. Its totient is φ = 11128320.

The previous prime is 45212693. The next prime is 45212701. The reversal of 45212700 is 721254.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45212701) 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, 1897 + ... + 9696.

Almost surely, 245212700 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 45212700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70445144).

45212700 is an abundant number, since it is smaller than the sum of its proper divisors (95677588).

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

45212700 is a wasteful number, since it uses less digits than its factorization.

45212700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11623 (or 11616 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 45212700 is about 6724.0389647889. The cubic root of 45212700 is about 356.2488581065.

Adding to 45212700 its reverse (721254), we get a palindrome (45933954).

The spelling of 45212700 in words is "forty-five million, two hundred twelve thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 11593 23186 34779 46372 57965 69558 115930 139116 150709 173895 231860 289825 301418 347790 452127 579650 602836 695580 753545 869475 904254 1159300 1507090 1738950 1808508 2260635 3014180 3477900 3767725 4521270 7535450 9042540 11303175 15070900 22606350 45212700