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114785248 = 2529373343
BaseRepresentation
bin1101101011101…
…11101111100000
321222222200202111
412311313233200
5213341111443
615220125104
72562441604
oct665675740
9258880674
10114785248
115987a946
1232536794
131aa1c486
141135d504
15a12569d
hex6d77be0

114785248 has 48 divisors (see below), whose sum is σ = 240166080. Its totient is φ = 53899776.

The previous prime is 114785221. The next prime is 114785257. The reversal of 114785248 is 842587411.

It is a self number, because there is not a number n which added to its sum of digits gives 114785248.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32665 + ... + 36007.

It is an arithmetic number, because the mean of its divisors is an integer number (5003460).

Almost surely, 2114785248 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 114785248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120083040).

114785248 is an abundant number, since it is smaller than the sum of its proper divisors (125380832).

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

114785248 is a wasteful number, since it uses less digits than its factorization.

114785248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419 (or 3411 counting only the distinct ones).

The product of its digits is 71680, while the sum is 40.

The square root of 114785248 is about 10713.7877522378. The cubic root of 114785248 is about 485.9915210181.

The spelling of 114785248 in words is "one hundred fourteen million, seven hundred eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 29 32 37 58 74 116 148 232 296 464 592 928 1073 1184 2146 3343 4292 6686 8584 13372 17168 26744 34336 53488 96947 106976 123691 193894 247382 387788 494764 775576 989528 1551152 1979056 3102304 3587039 3958112 7174078 14348156 28696312 57392624 114785248