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132842848 = 2523199907
BaseRepresentation
bin1111110101100…
…00010101100000
3100020222010010111
413322300111200
5233001432343
621103141104
73202100635
oct772602540
9306863114
10132842848
1168a93886
12385a4794
13216a2748
141390018c
15b9e0c9d
hex7eb0560

132842848 has 48 divisors (see below), whose sum is σ = 274579200. Its totient is φ = 63144576.

The previous prime is 132842833. The next prime is 132842861. The reversal of 132842848 is 848248231.

It is a super-2 number, since 2×1328428482 = 35294444529502208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132842848.

It is a congruent number.

It is an unprimeable number.

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, 146011 + ... + 146917.

It is an arithmetic number, because the mean of its divisors is an integer number (5720400).

Almost surely, 2132842848 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 132842848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137289600).

132842848 is an abundant number, since it is smaller than the sum of its proper divisors (141736352).

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

132842848 is a wasteful number, since it uses less digits than its factorization.

132842848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1131 counting only the distinct ones).

The product of its digits is 98304, while the sum is 40.

The square root of 132842848 is about 11525.7471775152. The cubic root of 132842848 is about 510.2457459782.

The spelling of 132842848 in words is "one hundred thirty-two million, eight hundred forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 23 32 46 92 184 199 368 398 736 796 907 1592 1814 3184 3628 4577 6368 7256 9154 14512 18308 20861 29024 36616 41722 73232 83444 146464 166888 180493 333776 360986 667552 721972 1443944 2887888 4151339 5775776 8302678 16605356 33210712 66421424 132842848