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114640448 = 2613227607
BaseRepresentation
bin1101101010101…
…00011001000000
321222201100010112
412311110121000
5213321443243
615213050452
72561266466
oct665243100
9258640115
10114640448
115979107a
1232486a28
131a99b5b0
1411322836
15a0e7818
hex6d54640

114640448 has 56 divisors (see below), whose sum is σ = 246473472. Its totient is φ = 52591104.

The previous prime is 114640447. The next prime is 114640453. The reversal of 114640448 is 844046411.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (114640447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188561 + ... + 189167.

It is an arithmetic number, because the mean of its divisors is an integer number (4401312).

Almost surely, 2114640448 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 114640448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123236736).

114640448 is an abundant number, since it is smaller than the sum of its proper divisors (131833024).

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

114640448 is a wasteful number, since it uses less digits than its factorization.

114640448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 114640448 is about 10707.0279723180. The cubic root of 114640448 is about 485.7870778365.

Adding to 114640448 its reverse (844046411), we get a palindrome (958686859).

The spelling of 114640448 in words is "one hundred fourteen million, six hundred forty thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 227 416 454 607 832 908 1214 1816 2428 2951 3632 4856 5902 7264 7891 9712 11804 14528 15782 19424 23608 31564 38848 47216 63128 94432 126256 137789 188864 252512 275578 505024 551156 1102312 1791257 2204624 3582514 4409248 7165028 8818496 14330056 28660112 57320224 114640448