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132350848 = 277178689
BaseRepresentation
bin1111110001110…
…00001110000000
3100020001010020021
413320320032000
5232340211343
621044423224
73164651350
oct770701600
9306033207
10132350848
1168788173
12383a7b14
132155c816
1413812b60
15b9450ed
hex7e38380

132350848 has 64 divisors (see below), whose sum is σ = 319096800. Its totient is φ = 53379072.

The previous prime is 132350839. The next prime is 132350851. The reversal of 132350848 is 848053231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a zygodrome in base 2.

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, 10888 + ... + 19576.

Almost surely, 2132350848 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 132350848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159548400).

132350848 is an abundant number, since it is smaller than the sum of its proper divisors (186745952).

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

132350848 is an equidigital number, since it uses as much as digits as its factorization.

132350848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8727 (or 8715 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 132350848 is about 11504.3838600770. The cubic root of 132350848 is about 509.6150471977.

The spelling of 132350848 in words is "one hundred thirty-two million, three hundred fifty thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 272 448 476 544 896 952 1088 1904 2176 3808 7616 8689 15232 17378 34756 60823 69512 121646 139024 147713 243292 278048 295426 486584 556096 590852 973168 1033991 1112192 1181704 1946336 2067982 2363408 3892672 4135964 4726816 7785344 8271928 9453632 16543856 18907264 33087712 66175424 132350848