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48062144 = 261361947
BaseRepresentation
bin1011011101010…
…1111011000000
310100102210212102
42313111323000
544300442034
64434045532
71122343604
oct267257300
9110383772
1048062144
1125147889
12141198a8
139c5a350
146551504
15434597e
hex2dd5ec0

48062144 has 56 divisors (see below), whose sum is σ = 104503728. Its totient is φ = 21795840.

The previous prime is 48062143. The next prime is 48062171. The reversal of 48062144 is 44126084.

It is a super-3 number, since 3×480621443 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48062141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50279 + ... + 51225.

It is an arithmetic number, because the mean of its divisors is an integer number (1866138).

Almost surely, 248062144 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 48062144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52251864).

48062144 is an abundant number, since it is smaller than the sum of its proper divisors (56441584).

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

48062144 is a wasteful number, since it uses less digits than its factorization.

48062144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 48062144 is about 6932.6866365068. The cubic root of 48062144 is about 363.5808886283.

The spelling of 48062144 in words is "forty-eight million, sixty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 61 64 104 122 208 244 416 488 793 832 947 976 1586 1894 1952 3172 3788 3904 6344 7576 12311 12688 15152 24622 25376 30304 49244 50752 57767 60608 98488 115534 196976 231068 393952 462136 750971 787904 924272 1501942 1848544 3003884 3697088 6007768 12015536 24031072 48062144