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114776442 = 232113715667
BaseRepresentation
bin1101101011101…
…01100101111010
321222222020200100
412311311211322
5213340321232
615220020230
72562404124
oct665654572
9258866610
10114776442
1159874270
1232531676
131aa18471
141135a214
15a122c7c
hex6d7597a

114776442 has 48 divisors (see below), whose sum is σ = 278639712. Its totient is φ = 33838560.

The previous prime is 114776437. The next prime is 114776449. The reversal of 114776442 is 244677411.

It is a happy number.

114776442 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 7 + 644 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 114776397 and 114776406.

It is not an unprimeable number, because it can be changed into a prime (114776449) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 508 + ... + 15159.

It is an arithmetic number, because the mean of its divisors is an integer number (5804994).

Almost surely, 2114776442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114776442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139319856).

114776442 is an abundant number, since it is smaller than the sum of its proper divisors (163863270).

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

114776442 is a wasteful number, since it uses less digits than its factorization.

114776442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15723 (or 15720 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 114776442 is about 10713.3767785885. The cubic root of 114776442 is about 485.9790927347.

The spelling of 114776442 in words is "one hundred fourteen million, seven hundred seventy-six thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 7326 15667 31334 47001 94002 141003 172337 282006 344674 517011 579679 1034022 1159358 1551033 1739037 3102066 3478074 5217111 6376469 10434222 12752938 19129407 38258814 57388221 114776442