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114451488 = 2533139953
BaseRepresentation
bin1101101001001…
…10010000100000
321222100201221000
412310212100200
5213244421423
615205032000
72556551544
oct664462040
9258321830
10114451488
1159672108
12323b5600
131a933598
14112b3a24
15a0ab843
hex6d26420

114451488 has 96 divisors (see below), whose sum is σ = 336571200. Its totient is φ = 37836288.

The previous prime is 114451481. The next prime is 114451501. The reversal of 114451488 is 884154411.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (114451481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119620 + ... + 120572.

It is an arithmetic number, because the mean of its divisors is an integer number (3505950).

Almost surely, 2114451488 is an apocalyptic number.

114451488 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 114451488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168285600).

114451488 is an abundant number, since it is smaller than the sum of its proper divisors (222119712).

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

114451488 is a wasteful number, since it uses less digits than its factorization.

114451488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1097 counting only the distinct ones).

The product of its digits is 20480, while the sum is 36.

The square root of 114451488 is about 10698.2002224673. The cubic root of 114451488 is about 485.5200260572.

The spelling of 114451488 in words is "one hundred fourteen million, four hundred fifty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 139 144 216 278 288 417 432 556 834 864 953 1112 1251 1668 1906 2224 2502 2859 3336 3753 3812 4448 5004 5718 6672 7506 7624 8577 10008 11436 13344 15012 15248 17154 20016 22872 25731 30024 30496 34308 40032 45744 51462 60048 68616 91488 102924 120096 132467 137232 205848 264934 274464 397401 411696 529868 794802 823392 1059736 1192203 1589604 2119472 2384406 3179208 3576609 4238944 4768812 6358416 7153218 9537624 12716832 14306436 19075248 28612872 38150496 57225744 114451488