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114426752 = 2711181449
BaseRepresentation
bin1101101001000…
…00001110000000
321222022110222212
412310200032000
5213243124002
615204321252
72556416456
oct664401600
9258273885
10114426752
1159655570
12323a3228
131a92524b
14112a89d6
15a0a4352
hex6d20380

114426752 has 64 divisors (see below), whose sum is σ = 250614000. Its totient is φ = 51609600.

The previous prime is 114426751. The next prime is 114426773. The reversal of 114426752 is 257624411.

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 not an unprimeable number, because it can be changed into a prime (114426751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254624 + ... + 255072.

Almost surely, 2114426752 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 114426752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125307000).

114426752 is an abundant number, since it is smaller than the sum of its proper divisors (136187248).

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

114426752 is a wasteful number, since it uses less digits than its factorization.

114426752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 643 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The square root of 114426752 is about 10697.0440776880. The cubic root of 114426752 is about 485.4850456217.

The spelling of 114426752 in words is "one hundred fourteen million, four hundred twenty-six thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 181 352 362 449 704 724 898 1408 1448 1796 1991 2896 3592 3982 4939 5792 7184 7964 9878 11584 14368 15928 19756 23168 28736 31856 39512 57472 63712 79024 81269 127424 158048 162538 254848 316096 325076 632192 650152 893959 1300304 1787918 2600608 3575836 5201216 7151672 10402432 14303344 28606688 57213376 114426752