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49120968 = 23313313503
BaseRepresentation
bin1011101101100…
…0011011001000
310102102121022010
42323120123020
5100033332333
64512455520
71134343551
oct273303310
9112377263
1049120968
1125800346
121454a5a0
13a23b280
146749328
1544a4563
hex2ed86c8

49120968 has 64 divisors (see below), whose sum is σ = 132935040. Its totient is φ = 15035904.

The previous prime is 49120949. The next prime is 49120991. The reversal of 49120968 is 86902194.

49120968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 97405 + ... + 97907.

It is an arithmetic number, because the mean of its divisors is an integer number (2077110).

Almost surely, 249120968 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 49120968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66467520).

49120968 is an abundant number, since it is smaller than the sum of its proper divisors (83814072).

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

49120968 is a wasteful number, since it uses less digits than its factorization.

49120968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 49120968 is about 7008.6352451815. The cubic root of 49120968 is about 366.2314520382.

The spelling of 49120968 in words is "forty-nine million, one hundred twenty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 313 503 626 939 1006 1252 1509 1878 2012 2504 3018 3756 4024 4069 6036 6539 7512 8138 12072 12207 13078 16276 19617 24414 26156 32552 39234 48828 52312 78468 97656 156936 157439 314878 472317 629756 944634 1259512 1889268 2046707 3778536 4093414 6140121 8186828 12280242 16373656 24560484 49120968