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131944248 = 23331314663
BaseRepresentation
bin1111101110101…
…00111100111000
3100012021110111000
413313110330320
5232234203443
621032005000
73161336052
oct767247470
9305243430
10131944248
116852a737
1238230760
1321449727
14137488d2
15b8b48d3
hex7dd4f38

131944248 has 64 divisors (see below), whose sum is σ = 369388800. Its totient is φ = 43636320.

The previous prime is 131944247. The next prime is 131944283. The reversal of 131944248 is 842449131.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131944247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25965 + ... + 30627.

It is an arithmetic number, because the mean of its divisors is an integer number (5771700).

Almost surely, 2131944248 is an apocalyptic number.

131944248 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 131944248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184694400).

131944248 is an abundant number, since it is smaller than the sum of its proper divisors (237444552).

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

131944248 is a wasteful number, since it uses less digits than its factorization.

131944248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4809 (or 4799 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 131944248 is about 11486.6987424586. The cubic root of 131944248 is about 509.0926427044.

The spelling of 131944248 in words is "one hundred thirty-one million, nine hundred forty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 131 216 262 393 524 786 1048 1179 1572 2358 3144 3537 4663 4716 7074 9326 9432 13989 14148 18652 27978 28296 37304 41967 55956 83934 111912 125901 167868 251802 335736 503604 610853 1007208 1221706 1832559 2443412 3665118 4886824 5497677 7330236 10995354 14660472 16493031 21990708 32986062 43981416 65972124 131944248