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49823460 = 22325377481
BaseRepresentation
bin1011111000001…
…1111011100100
310110202021221100
42332003323210
5100223322320
64535520100
71143330621
oct276037344
9113667840
1049823460
1126140115
1214829030
13a425c4b
14688d348
154592790
hex2f83ee4

49823460 has 72 divisors (see below), whose sum is σ = 155236536. Its totient is φ = 12925440.

The previous prime is 49823441. The next prime is 49823461. The reversal of 49823460 is 6432894.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 23444964 + 26378496 = 4842^2 + 5136^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (49823461) 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, 2920 + ... + 10400.

It is an arithmetic number, because the mean of its divisors is an integer number (2156063).

Almost surely, 249823460 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 49823460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77618268).

49823460 is an abundant number, since it is smaller than the sum of its proper divisors (105413076).

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

49823460 is a wasteful number, since it uses less digits than its factorization.

49823460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7533 (or 7528 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 49823460 is about 7058.5735102781. The cubic root of 49823460 is about 367.9690526118.

The spelling of 49823460 in words is "forty-nine million, eight hundred twenty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 7481 14962 22443 29924 37405 44886 67329 74810 89772 112215 134658 149620 224430 269316 276797 336645 448860 553594 673290 830391 1107188 1346580 1383985 1660782 2491173 2767970 3321564 4151955 4982346 5535940 8303910 9964692 12455865 16607820 24911730 49823460