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114455808 = 283329571
BaseRepresentation
bin1101101001001…
…11010100000000
321222100221212000
412310213110000
5213300041213
615205104000
72556600255
oct664472400
9258327760
10114455808
1159675385
12323b8000
131a93553c
14112b542c
15a0acc73
hex6d27500

114455808 has 144 divisors (see below), whose sum is σ = 350750400. Its totient is φ = 36771840.

The previous prime is 114455807. The next prime is 114455821. The reversal of 114455808 is 808554411.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114455801) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 200163 + ... + 200733.

Almost surely, 2114455808 is an apocalyptic number.

114455808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114455808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175375200).

114455808 is an abundant number, since it is smaller than the sum of its proper divisors (236294592).

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

114455808 is an equidigital number, since it uses as much as digits as its factorization.

114455808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 114455808 is about 10698.4021236818. The cubic root of 114455808 is about 485.5261346719.

The spelling of 114455808 in words is "one hundred fourteen million, four hundred fifty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 256 261 288 348 384 432 464 522 571 576 696 768 783 864 928 1044 1142 1152 1392 1566 1713 1728 1856 2088 2284 2304 2784 3132 3426 3456 3712 4176 4568 5139 5568 6264 6852 6912 7424 8352 9136 10278 11136 12528 13704 15417 16559 16704 18272 20556 22272 25056 27408 30834 33118 33408 36544 41112 49677 50112 54816 61668 66236 66816 73088 82224 99354 100224 109632 123336 132472 146176 149031 164448 198708 200448 219264 246672 264944 298062 328896 397416 438528 447093 493344 529888 596124 657792 794832 894186 986688 1059776 1192248 1315584 1589664 1788372 1973376 2119552 2384496 3179328 3576744 3946752 4239104 4768992 6358656 7153488 9537984 12717312 14306976 19075968 28613952 38151936 57227904 114455808