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114828352 = 266167439
BaseRepresentation
bin1101101100000…
…10010001000000
322000001212212221
412312002101000
5213344001402
615221100424
72563011352
oct666022100
9260055787
10114828352
11598aa271
1232557714
131aa35c92
14113710d2
15a133337
hex6d82440

114828352 has 56 divisors (see below), whose sum is σ = 235590080. Its totient is φ = 55503360.

The previous prime is 114828347. The next prime is 114828401. The reversal of 114828352 is 253828411.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261349 + ... + 261787.

Almost surely, 2114828352 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 114828352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117795040).

114828352 is an abundant number, since it is smaller than the sum of its proper divisors (120761728).

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

114828352 is an equidigital number, since it uses as much as digits as its factorization.

114828352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 569 counting only the distinct ones).

The product of its digits is 15360, while the sum is 34.

The square root of 114828352 is about 10715.7991769163. The cubic root of 114828352 is about 486.0523463631.

The spelling of 114828352 in words is "one hundred fourteen million, eight hundred twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 61 64 67 122 134 244 268 439 488 536 878 976 1072 1756 1952 2144 3512 3904 4087 4288 7024 8174 14048 16348 26779 28096 29413 32696 53558 58826 65392 107116 117652 130784 214232 235304 261568 428464 470608 856928 941216 1713856 1794193 1882432 3588386 7176772 14353544 28707088 57414176 114828352