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114914826 = 232133971237
BaseRepresentation
bin1101101100101…
…11011000001010
322000020021111200
412312113120022
5213404233301
615223005030
72563521435
oct666273012
9260207450
10114914826
1159959234
1232599776
131aa66450
141139481c
15a14dc86
hex6d9760a

114914826 has 48 divisors (see below), whose sum is σ = 269027304. Its totient is φ = 35240832.

The previous prime is 114914809. The next prime is 114914851. The reversal of 114914826 is 628419411.

It can be written as a sum of positive squares in 4 ways, for example, as 100100025 + 14814801 = 10005^2 + 3849^2 .

It is a super-2 number, since 2×1149148262 = 26410834469220552, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92280 + ... + 93516.

Almost surely, 2114914826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114914826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134513652).

114914826 is an abundant number, since it is smaller than the sum of its proper divisors (154112478).

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

114914826 is a wasteful number, since it uses less digits than its factorization.

114914826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1652 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 114914826 is about 10719.8333009427. The cubic root of 114914826 is about 486.1743265289.

The spelling of 114914826 in words is "one hundred fourteen million, nine hundred fourteen thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 397 794 1191 1237 2382 2474 3573 3711 5161 7146 7422 10322 11133 15483 16081 22266 30966 32162 46449 48243 92898 96486 144729 289458 491089 982178 1473267 2946534 4419801 6384157 8839602 12768314 19152471 38304942 57457413 114914826