Search a number
-
+
132334848 = 2832193023
BaseRepresentation
bin1111110001101…
…00010100000000
3100020000022021200
413320310110000
5232334203343
621044221200
73164553612
oct770642400
9306008250
10132334848
1168777148
123839a800
1321555459
141380adb2
15b9404d3
hex7e34500

132334848 has 108 divisors (see below), whose sum is σ = 401768640. Its totient is φ = 41776128.

The previous prime is 132334831. The next prime is 132334883. The reversal of 132334848 is 848433231.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42265 + ... + 45287.

It is an arithmetic number, because the mean of its divisors is an integer number (3720080).

Almost surely, 2132334848 is an apocalyptic number.

132334848 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 132334848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200884320).

132334848 is an abundant number, since it is smaller than the sum of its proper divisors (269433792).

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

132334848 is a wasteful number, since it uses less digits than its factorization.

132334848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3064 (or 3047 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 132334848 is about 11503.6884519705. The cubic root of 132334848 is about 509.5945104464.

It can be divided in two parts, 13233 and 4848, that added together give a palindrome (18081).

The spelling of 132334848 in words is "one hundred thirty-two million, three hundred thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 576 608 684 768 912 1152 1216 1368 1824 2304 2432 2736 3023 3648 4864 5472 6046 7296 9069 10944 12092 14592 18138 21888 24184 27207 36276 43776 48368 54414 57437 72552 96736 108828 114874 145104 172311 193472 217656 229748 290208 344622 386944 435312 459496 516933 580416 689244 773888 870624 918992 1033866 1160832 1378488 1741248 1837984 2067732 2321664 2756976 3482496 3675968 4135464 5513952 6964992 7351936 8270928 11027904 14703872 16541856 22055808 33083712 44111616 66167424 132334848