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49713872 = 2413594051
BaseRepresentation
bin1011110110100…
…1001011010000
310110112201121112
42331221023100
5100211320442
64533312452
71142363255
oct275511320
9113481545
1049713872
112607584a
1214795728
13a3b80c0
14686142c
154570082
hex2f692d0

49713872 has 40 divisors (see below), whose sum is σ = 105514080. Its totient is φ = 22550400.

The previous prime is 49713871. The next prime is 49713889. The reversal of 49713872 is 27831794.

49713872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×497138723 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49713871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10247 + ... + 14297.

It is an arithmetic number, because the mean of its divisors is an integer number (2637852).

Almost surely, 249713872 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 49713872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52757040).

49713872 is an abundant number, since it is smaller than the sum of its proper divisors (55800208).

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

49713872 is a wasteful number, since it uses less digits than its factorization.

49713872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4131 (or 4125 counting only the distinct ones).

The product of its digits is 84672, while the sum is 41.

The square root of 49713872 is about 7050.8064786945. The cubic root of 49713872 is about 367.6990687259.

The spelling of 49713872 in words is "forty-nine million, seven hundred thirteen thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 52 59 104 118 208 236 472 767 944 1534 3068 4051 6136 8102 12272 16204 32408 52663 64816 105326 210652 239009 421304 478018 842608 956036 1912072 3107117 3824144 6214234 12428468 24856936 49713872