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114449632 = 2511541601
BaseRepresentation
bin1101101001001…
…01110011100000
321222100122101021
412310211303200
5213244342012
615205015224
72556543253
oct664456340
9258318337
10114449632
1159670780
12323b4514
131a93279b
14112b309a
15a0ab007
hex6d25ce0

114449632 has 48 divisors (see below), whose sum is σ = 246670704. Its totient is φ = 51840000.

The previous prime is 114449623. The next prime is 114449693. The reversal of 114449632 is 236944411.

It is a congruent number.

It is an unprimeable number.

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, 190132 + ... + 190732.

It is an arithmetic number, because the mean of its divisors is an integer number (5138973).

Almost surely, 2114449632 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 114449632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123335352).

114449632 is an abundant number, since it is smaller than the sum of its proper divisors (132221072).

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

114449632 is a wasteful number, since it uses less digits than its factorization.

114449632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1155 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 114449632 is about 10698.1134785531. The cubic root of 114449632 is about 485.5174015682.

The spelling of 114449632 in words is "one hundred fourteen million, four hundred forty-nine thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 541 601 1082 1202 2164 2404 4328 4808 5951 6611 8656 9616 11902 13222 17312 19232 23804 26444 47608 52888 95216 105776 190432 211552 325141 650282 1300564 2601128 3576551 5202256 7153102 10404512 14306204 28612408 57224816 114449632