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114241952 = 2511491661
BaseRepresentation
bin1101100111100…
…11000110100000
321221222002111102
412303303012200
5213221220302
615200333532
72555016626
oct663630640
9257862442
10114241952
1159539740
12323142a8
131a88c0b6
141125b516
15a069702
hex6cf31a0

114241952 has 48 divisors (see below), whose sum is σ = 246232224. Its totient is φ = 51744000.

The previous prime is 114241937. The next prime is 114241957. The reversal of 114241952 is 259142411.

It is not an unprimeable number, because it can be changed into a prime (114241957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172502 + ... + 173162.

It is an arithmetic number, because the mean of its divisors is an integer number (5129838).

Almost surely, 2114241952 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 114241952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123116112).

114241952 is an abundant number, since it is smaller than the sum of its proper divisors (131990272).

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

114241952 is a wasteful number, since it uses less digits than its factorization.

114241952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1165 counting only the distinct ones).

The product of its digits is 2880, while the sum is 29.

The square root of 114241952 is about 10688.4026870248. The cubic root of 114241952 is about 485.2235508913.

The spelling of 114241952 in words is "one hundred fourteen million, two hundred forty-one thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 491 661 982 1322 1964 2644 3928 5288 5401 7271 7856 10576 10802 14542 15712 21152 21604 29084 43208 58168 86416 116336 172832 232672 324551 649102 1298204 2596408 3570061 5192816 7140122 10385632 14280244 28560488 57120976 114241952