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114549248 = 29112432
BaseRepresentation
bin1101101001111…
…10001000000000
321222112201000202
412310332020000
5213311033443
615211104332
72560436552
oct664761000
9258481022
10114549248
1159729600
12324420a8
131a968c28
14112db4d2
15a0ca7b8
hex6d3e200

114549248 has 90 divisors (see below), whose sum is σ = 257559687. Its totient is φ = 50856960.

The previous prime is 114549221. The next prime is 114549257. The reversal of 114549248 is 842945411.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 57274624 + 57274624 = 7568^2 + 7568^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7568.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 2663915 + ... + 2663957.

Almost surely, 2114549248 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 114549248

114549248 is an abundant number, since it is smaller than the sum of its proper divisors (143010439).

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

114549248 is an frugal number, since it uses more digits than its factorization.

114549248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 56 counting only the distinct ones).

The product of its digits is 46080, while the sum is 38.

The square root of 114549248 is about 10702.7682400396. The cubic root of 114549248 is about 485.6582241442.

It can be divided in two parts, 11454 and 9248, that added together give a palindrome (20702).

The spelling of 114549248 in words is "one hundred fourteen million, five hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 121 128 172 176 242 256 344 352 473 484 512 688 704 946 968 1376 1408 1849 1892 1936 2752 2816 3698 3784 3872 5203 5504 5632 7396 7568 7744 10406 11008 14792 15136 15488 20339 20812 22016 29584 30272 30976 40678 41624 59168 60544 61952 81356 83248 118336 121088 162712 166496 223729 236672 242176 325424 332992 447458 473344 650848 665984 894916 946688 1301696 1331968 1789832 2603392 2663936 3579664 5206784 7159328 10413568 14318656 28637312 57274624 114549248