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131914848 = 25313105701
BaseRepresentation
bin1111101110011…
…01110001100000
3100012012222011010
413313031301200
5232232233343
621031220520
73161154252
oct767156140
9305188133
10131914848
116850a63a
1238217740
1321439230
141373bcd2
15b8aad33
hex7dcdc60

131914848 has 48 divisors (see below), whose sum is σ = 372916656. Its totient is φ = 40588800.

The previous prime is 131914837. The next prime is 131914901. The reversal of 131914848 is 848419131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51603 + ... + 54098.

It is an arithmetic number, because the mean of its divisors is an integer number (7769097).

Almost surely, 2131914848 is an apocalyptic number.

It is an amenable number.

131914848 is an abundant number, since it is smaller than the sum of its proper divisors (241001808).

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

131914848 is a wasteful number, since it uses less digits than its factorization.

131914848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105727 (or 105719 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 131914848 is about 11485.4189301044. The cubic root of 131914848 is about 509.0548276531.

The spelling of 131914848 in words is "one hundred thirty-one million, nine hundred fourteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 105701 211402 317103 422804 634206 845608 1268412 1374113 1691216 2536824 2748226 3382432 4122339 5073648 5496452 8244678 10147296 10992904 16489356 21985808 32978712 43971616 65957424 131914848