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114435048 = 233713151347
BaseRepresentation
bin1101101001000…
…10001111101000
321222022220101010
412310202033220
5213243410143
615204423520
72556452610
oct664421750
9258286333
10114435048
1159660822
12323a7ba0
131a928c60
14112aba40
15a0a6a33
hex6d223e8

114435048 has 128 divisors (see below), whose sum is σ = 355461120. Its totient is φ = 29894400.

The previous prime is 114435047. The next prime is 114435049. The reversal of 114435048 is 840534411.

It is an interprime number because it is at equal distance from previous prime (114435047) and next prime (114435049).

It is not an unprimeable number, because it can be changed into a prime (114435047) 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 31 ways as a sum of consecutive naturals, for example, 329611 + ... + 329957.

It is an arithmetic number, because the mean of its divisors is an integer number (2777040).

Almost surely, 2114435048 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 114435048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177730560).

114435048 is an abundant number, since it is smaller than the sum of its proper divisors (241026072).

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

114435048 is a wasteful number, since it uses less digits than its factorization.

114435048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 114435048 is about 10697.4318413346. The cubic root of 114435048 is about 485.4967779790.

Adding to 114435048 its reverse (840534411), we get a palindrome (954969459).

The spelling of 114435048 in words is "one hundred fourteen million, four hundred thirty-five thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 151 156 168 182 273 302 312 347 364 453 546 604 694 728 906 1041 1057 1092 1208 1388 1812 1963 2082 2114 2184 2429 2776 3171 3624 3926 4164 4228 4511 4858 5889 6342 7287 7852 8328 8456 9022 9716 11778 12684 13533 13741 14574 15704 18044 19432 23556 25368 27066 27482 29148 31577 36088 41223 47112 52397 54132 54964 58296 63154 82446 94731 104794 108264 109928 126308 157191 164892 189462 209588 252616 314382 329784 366779 378924 419176 628764 681161 733558 757848 1100337 1257528 1362322 1467116 2043483 2200674 2724644 2934232 4086966 4401348 4768127 5449288 8173932 8802696 9536254 14304381 16347864 19072508 28608762 38145016 57217524 114435048