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49385664 = 2632831033
BaseRepresentation
bin1011110001100…
…1000011000000
310102221001101200
42330121003000
5100120320124
64522301200
71136525346
oct274310300
9112831350
1049385664
11259711a9
1214657800
13a3018b3
1467b7996
154507bc9
hex2f190c0

49385664 has 84 divisors (see below), whose sum is σ = 143399256. Its totient is φ = 16247808.

The previous prime is 49385647. The next prime is 49385701. The reversal of 49385664 is 46658394.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47292 + ... + 48324.

It is an arithmetic number, because the mean of its divisors is an integer number (1707134).

Almost surely, 249385664 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 49385664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71699628).

49385664 is an abundant number, since it is smaller than the sum of its proper divisors (94013592).

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

49385664 is a wasteful number, since it uses less digits than its factorization.

49385664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1121 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 49385664 is about 7027.4934364964. The cubic root of 49385664 is about 366.8881057263. Note that the first 3 decimals are identical.

The spelling of 49385664 in words is "forty-nine million, three hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 144 166 192 249 288 332 498 576 664 747 996 1033 1328 1494 1992 2066 2656 2988 3099 3984 4132 5312 5976 6198 7968 8264 9297 11952 12396 15936 16528 18594 23904 24792 33056 37188 47808 49584 66112 74376 85739 99168 148752 171478 198336 257217 297504 342956 514434 595008 685912 771651 1028868 1371824 1543302 2057736 2743648 3086604 4115472 5487296 6173208 8230944 12346416 16461888 24692832 49385664