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114444448 = 2519414591
BaseRepresentation
bin1101101001001…
…00100010100000
321222100101021021
412310210202200
5213244210243
615204535224
72556522166
oct664444240
9258311237
10114444448
1159667898
12323b1514
131a930311
14112b1236
15a0a96ed
hex6d248a0

114444448 has 48 divisors (see below), whose sum is σ = 243008640. Its totient is φ = 52876800.

The previous prime is 114444431. The next prime is 114444497. The reversal of 114444448 is 844444411.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

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, 22633 + ... + 27223.

It is an arithmetic number, because the mean of its divisors is an integer number (5062680).

Almost surely, 2114444448 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 114444448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121504320).

114444448 is an abundant number, since it is smaller than the sum of its proper divisors (128564192).

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

114444448 is a wasteful number, since it uses less digits than its factorization.

114444448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4661 (or 4653 counting only the distinct ones).

The product of its digits is 32768, while the sum is 34.

The square root of 114444448 is about 10697.8711901013. The cubic root of 114444448 is about 485.5100709484.

Adding to 114444448 its reverse (844444411), we get a palindrome (958888859).

The spelling of 114444448 in words is "one hundred fourteen million, four hundred forty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 19 32 38 41 76 82 152 164 304 328 608 656 779 1312 1558 3116 4591 6232 9182 12464 18364 24928 36728 73456 87229 146912 174458 188231 348916 376462 697832 752924 1395664 1505848 2791328 3011696 3576389 6023392 7152778 14305556 28611112 57222224 114444448