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61426500 = 22353311321
BaseRepresentation
bin1110101001010…
…0101101000100
311021120210022120
43222110231010
5111211122000
610032325540
71344055002
oct352245504
9137523276
1061426500
1131745703
12186a38b0
13c959355
14822da72
1555d56a0
hex3a94b44

61426500 has 96 divisors (see below), whose sum is σ = 184783872. Its totient is φ = 15840000.

The previous prime is 61426447. The next prime is 61426501. The reversal of 61426500 is 562416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61426501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45840 + ... + 47160.

It is an arithmetic number, because the mean of its divisors is an integer number (1924832).

Almost surely, 261426500 is an apocalyptic number.

61426500 is a gapful number since it is divisible by the number (60) 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 61426500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92391936).

61426500 is an abundant number, since it is smaller than the sum of its proper divisors (123357372).

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

61426500 is a wasteful number, since it uses less digits than its factorization.

61426500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 61426500 is about 7837.5059808590. The cubic root of 61426500 is about 394.5650288531.

Adding to 61426500 its reverse (562416), we get a palindrome (61988916).

The spelling of 61426500 in words is "sixty-one million, four hundred twenty-six thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 125 150 155 186 250 300 310 372 375 465 500 620 750 775 930 1321 1500 1550 1860 2325 2642 3100 3875 3963 4650 5284 6605 7750 7926 9300 11625 13210 15500 15852 19815 23250 26420 33025 39630 40951 46500 66050 79260 81902 99075 122853 132100 163804 165125 198150 204755 245706 330250 396300 409510 491412 495375 614265 660500 819020 990750 1023775 1228530 1981500 2047550 2457060 3071325 4095100 5118875 6142650 10237750 12285300 15356625 20475500 30713250 61426500