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49061568 = 263596171
BaseRepresentation
bin1011101100100…
…1111011000000
310102022120211010
42323021323000
5100024432233
64511320520
71134005433
oct273117300
9112276733
1049061568
112576a756
1214520140
13a21a21a
14673181a
154491b63
hex2ec9ec0

49061568 has 112 divisors (see below), whose sum is σ = 136062720. Its totient is φ = 15590400.

The previous prime is 49061567. The next prime is 49061587. The reversal of 49061568 is 86516094.

49061568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (49061563) 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 15 ways as a sum of consecutive naturals, for example, 690973 + ... + 691043.

Almost surely, 249061568 is an apocalyptic number.

49061568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49061568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68031360).

49061568 is an abundant number, since it is smaller than the sum of its proper divisors (87001152).

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

49061568 is a wasteful number, since it uses less digits than its factorization.

49061568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 49061568 is about 7004.3963337321. The cubic root of 49061568 is about 366.0837695322.

The spelling of 49061568 in words is "forty-nine million, sixty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 61 64 71 96 118 122 142 177 183 192 213 236 244 284 354 366 426 472 488 568 708 732 852 944 976 1136 1416 1464 1704 1888 1952 2272 2832 2928 3408 3599 3776 3904 4189 4331 4544 5664 5856 6816 7198 8378 8662 10797 11328 11712 12567 12993 13632 14396 16756 17324 21594 25134 25986 28792 33512 34648 43188 50268 51972 57584 67024 69296 86376 100536 103944 115168 134048 138592 172752 201072 207888 230336 255529 268096 277184 345504 402144 415776 511058 691008 766587 804288 831552 1022116 1533174 2044232 3066348 4088464 6132696 8176928 12265392 16353856 24530784 49061568