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114633552 = 243111991091
BaseRepresentation
bin1101101010100…
…10101101010000
321222200222200010
412311102231100
5213321233202
615212554520
72561240415
oct665225520
9258628603
10114633552
1159786980
1232482a40
131a998407
141132010c
15a0e576c
hex6d52b50

114633552 has 80 divisors (see below), whose sum is σ = 324979200. Its totient is φ = 34531200.

The previous prime is 114633529. The next prime is 114633553. The reversal of 114633552 is 255336411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114633553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104527 + ... + 105617.

It is an arithmetic number, because the mean of its divisors is an integer number (4062240).

Almost surely, 2114633552 is an apocalyptic number.

114633552 is a gapful number since it is divisible by the number (12) 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 114633552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162489600).

114633552 is an abundant number, since it is smaller than the sum of its proper divisors (210345648).

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

114633552 is a wasteful number, since it uses less digits than its factorization.

114633552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1306 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 114633552 is about 10706.7059360010. The cubic root of 114633552 is about 485.7773370777. Note that the first 3 decimals are identical.

Adding to 114633552 its reverse (255336411), we get a palindrome (369969963).

The spelling of 114633552 in words is "one hundred fourteen million, six hundred thirty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 199 264 398 528 597 796 1091 1194 1592 2182 2189 2388 3184 3273 4364 4378 4776 6546 6567 8728 8756 9552 12001 13092 13134 17456 17512 24002 26184 26268 35024 36003 48004 52368 52536 72006 96008 105072 144012 192016 217109 288024 434218 576048 651327 868436 1302654 1736872 2388199 2605308 3473744 4776398 5210616 7164597 9552796 10421232 14329194 19105592 28658388 38211184 57316776 114633552