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114842752 = 271789593
BaseRepresentation
bin1101101100001…
…01110010000000
322000002121122021
412312011302000
5213344432002
615221251224
72563101343
oct666056200
9260077567
10114842752
115990a072
1232563b14
131aa3c6bb
141137645a
15a137737
hex6d85c80

114842752 has 64 divisors (see below), whose sum is σ = 245381400. Its totient is φ = 53346304.

The previous prime is 114842747. The next prime is 114842753. The reversal of 114842752 is 257248411.

It can be written as a sum of positive squares in 4 ways, for example, as 101123136 + 13719616 = 10056^2 + 3704^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (114842753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193368 + ... + 193960.

Almost surely, 2114842752 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 114842752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122690700).

114842752 is an abundant number, since it is smaller than the sum of its proper divisors (130538648).

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

114842752 is an equidigital number, since it uses as much as digits as its factorization.

114842752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 701 counting only the distinct ones).

The product of its digits is 17920, while the sum is 34.

The square root of 114842752 is about 10716.4710609417. The cubic root of 114842752 is about 486.0726632422.

The spelling of 114842752 in words is "one hundred fourteen million, eight hundred forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 89 128 136 178 272 356 544 593 712 1088 1186 1424 1513 2176 2372 2848 3026 4744 5696 6052 9488 10081 11392 12104 18976 20162 24208 37952 40324 48416 52777 75904 80648 96832 105554 161296 193664 211108 322592 422216 645184 844432 897209 1290368 1688864 1794418 3377728 3588836 6755456 7177672 14355344 28710688 57421376 114842752