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131872248 = 23322379633
BaseRepresentation
bin1111101110000…
…11010111111000
3100012010210201100
413313003113320
5232224402443
621030251400
73160616124
oct767032770
9305123640
10131872248
1168490632
12381b6b60
1321422a21
141372a584
15b89d3d3
hex7dc35f8

131872248 has 48 divisors (see below), whose sum is σ = 372687120. Its totient is φ = 42045696.

The previous prime is 131872241. The next prime is 131872249. The reversal of 131872248 is 842278131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131872241) 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 11 ways as a sum of consecutive naturals, for example, 38161 + ... + 41472.

It is an arithmetic number, because the mean of its divisors is an integer number (7764315).

Almost surely, 2131872248 is an apocalyptic number.

131872248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131872248 is an abundant number, since it is smaller than the sum of its proper divisors (240814872).

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

131872248 is a wasteful number, since it uses less digits than its factorization.

131872248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79668 (or 79661 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 131872248 is about 11483.5642550560. The cubic root of 131872248 is about 509.0000244454. Note that the first 4 decimals are identical.

The spelling of 131872248 in words is "one hundred thirty-one million, eight hundred seventy-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 79633 159266 238899 318532 477798 637064 716697 955596 1433394 1831559 1911192 2866788 3663118 5494677 5733576 7326236 10989354 14652472 16484031 21978708 32968062 43957416 65936124 131872248