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114633048 = 23341971201
BaseRepresentation
bin1101101010100…
…10100101011000
321222200221222110
412311102211120
5213321224143
615212552320
72561236065
oct665224530
9258627873
10114633048
1159786562
12324826a0
131a99810a
141131dc6c
15a0e5533
hex6d52958

114633048 has 64 divisors (see below), whose sum is σ = 296845920. Its totient is φ = 36864000.

The previous prime is 114633041. The next prime is 114633053. The reversal of 114633048 is 840336411.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114633041) 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, 94848 + ... + 96048.

Almost surely, 2114633048 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 114633048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148422960).

114633048 is an abundant number, since it is smaller than the sum of its proper divisors (182212872).

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

114633048 is a wasteful number, since it uses less digits than its factorization.

114633048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 114633048 is about 10706.6823993243. The cubic root of 114633048 is about 485.7766251507.

Adding to 114633048 its reverse (840336411), we get a palindrome (954969459).

The spelling of 114633048 in words is "one hundred fourteen million, six hundred thirty-three thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 82 97 123 164 194 246 291 328 388 492 582 776 984 1164 1201 2328 2402 3603 3977 4804 7206 7954 9608 11931 14412 15908 23862 28824 31816 47724 49241 95448 98482 116497 147723 196964 232994 295446 349491 393928 465988 590892 698982 931976 1181784 1397964 2795928 4776377 9552754 14329131 19105508 28658262 38211016 57316524 114633048