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114446048 = 2531432683
BaseRepresentation
bin1101101001001…
…00111011100000
321222100110110112
412310210323200
5213244233143
615204550452
72556526643
oct664447340
9258313415
10114446048
1159669012
12323b2428
131a930c72
14112b1a5a
15a0a9e18
hex6d24ee0

114446048 has 48 divisors (see below), whose sum is σ = 238081536. Its totient is φ = 54069120.

The previous prime is 114446041. The next prime is 114446051. The reversal of 114446048 is 840644411.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

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 (114446041) 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 7 ways as a sum of consecutive naturals, for example, 41315 + ... + 43997.

It is an arithmetic number, because the mean of its divisors is an integer number (4960032).

Almost surely, 2114446048 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 114446048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119040768).

114446048 is an abundant number, since it is smaller than the sum of its proper divisors (123635488).

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

114446048 is a wasteful number, since it uses less digits than its factorization.

114446048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 114446048 is about 10697.9459710731. The cubic root of 114446048 is about 485.5123335090.

The spelling of 114446048 in words is "one hundred fourteen million, four hundred forty-six thousand, forty-eight".

Divisors: 1 2 4 8 16 31 32 43 62 86 124 172 248 344 496 688 992 1333 1376 2666 2683 5332 5366 10664 10732 21328 21464 42656 42928 83173 85856 115369 166346 230738 332692 461476 665384 922952 1330768 1845904 2661536 3576439 3691808 7152878 14305756 28611512 57223024 114446048