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49971306 = 2371129833
BaseRepresentation
bin1011111010100…
…0000001101010
310111000210202010
42332220001222
5100243040211
64543020350
71144514640
oct276500152
9114023663
1049971306
1126231200
121489a6b6
13a478328
1468cb190
1545c14a6
hex2fa806a

49971306 has 48 divisors (see below), whose sum is σ = 125560512. Its totient is φ = 12978240.

The previous prime is 49971301. The next prime is 49971307. The reversal of 49971306 is 60317994.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (49971301) 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, 166 + ... + 9998.

It is an arithmetic number, because the mean of its divisors is an integer number (2615844).

Almost surely, 249971306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49971306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62780256).

49971306 is an abundant number, since it is smaller than the sum of its proper divisors (75589206).

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

49971306 is a wasteful number, since it uses less digits than its factorization.

49971306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9867 (or 9856 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 49971306 is about 7069.0385484873. The cubic root of 49971306 is about 368.3326633122.

The spelling of 49971306 in words is "forty-nine million, nine hundred seventy-one thousand, three hundred six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 726 847 1694 2541 5082 9833 19666 29499 58998 68831 108163 137662 206493 216326 324489 412986 648978 757141 1189793 1514282 2271423 2379586 3569379 4542846 7138758 8328551 16657102 24985653 49971306