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114429952 = 212713307
BaseRepresentation
bin1101101001000…
…01000000000000
321222022122101101
412310201000000
5213243224302
615204344144
72556432010
oct664410000
9258278341
10114429952
1159657a0a
12323a5054
131a926840
14112a9c40
15a0a5287
hex6d21000

114429952 has 104 divisors (see below), whose sum is σ = 282556736. Its totient is φ = 45121536.

The previous prime is 114429949. The next prime is 114429971. The reversal of 114429952 is 259924411.

It is a tau number, because it is divible by the number of its divisors (104).

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 372583 + ... + 372889.

Almost surely, 2114429952 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 114429952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141278368).

114429952 is an abundant number, since it is smaller than the sum of its proper divisors (168126784).

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

114429952 is an equidigital number, since it uses as much as digits as its factorization.

114429952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 329 counting only the distinct ones).

The product of its digits is 25920, while the sum is 37.

The square root of 114429952 is about 10697.1936506731. The cubic root of 114429952 is about 485.4895711883.

The spelling of 114429952 in words is "one hundred fourteen million, four hundred twenty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 307 364 416 448 512 614 728 832 896 1024 1228 1456 1664 1792 2048 2149 2456 2912 3328 3584 3991 4096 4298 4912 5824 6656 7168 7982 8596 9824 11648 13312 14336 15964 17192 19648 23296 26624 27937 28672 31928 34384 39296 46592 53248 55874 63856 68768 78592 93184 111748 127712 137536 157184 186368 223496 255424 275072 314368 372736 446992 510848 550144 628736 893984 1021696 1100288 1257472 1787968 2043392 2200576 3575936 4086784 4401152 7151872 8173568 8802304 14303744 16347136 28607488 57214976 114429952