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114251648 = 277294397
BaseRepresentation
bin1101100111101…
…01011110000000
321221222120210112
412303311132000
5213222023043
615200450452
72555060120
oct663653600
9257876715
10114251648
1159545a55
1232319a28
131a893634
1411260c80
15a06c518
hex6cf5780

114251648 has 64 divisors (see below), whose sum is σ = 269157600. Its totient is φ = 47265792.

The previous prime is 114251639. The next prime is 114251651. The reversal of 114251648 is 846152411.

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 (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23786 + ... + 28182.

Almost surely, 2114251648 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 114251648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134578800).

114251648 is an abundant number, since it is smaller than the sum of its proper divisors (154905952).

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

114251648 is an equidigital number, since it uses as much as digits as its factorization.

114251648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4447 (or 4435 counting only the distinct ones).

The product of its digits is 7680, while the sum is 32.

The square root of 114251648 is about 10688.8562531264. The cubic root of 114251648 is about 485.2372778814.

The spelling of 114251648 in words is "one hundred fourteen million, two hundred fifty-one thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 406 448 464 812 896 928 1624 1856 3248 3712 4397 6496 8794 12992 17588 25984 30779 35176 61558 70352 123116 127513 140704 246232 255026 281408 492464 510052 562816 892591 984928 1020104 1785182 1969856 2040208 3570364 3939712 4080416 7140728 8160832 14281456 16321664 28562912 57125824 114251648