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36542632 = 2372731277
BaseRepresentation
bin1000101101100…
…1100010101000
32112202120001211
42023121202220
533323331012
63343122504
7622415200
oct213314250
975676054
1036542632
111969a025
12102a3434
137755c79
144bd3400
15331c6a7
hex22d98a8

36542632 has 48 divisors (see below), whose sum is σ = 80859060. Its totient is φ = 15434496.

The previous prime is 36542629. The next prime is 36542651. The reversal of 36542632 is 23624563.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 36072036 + 470596 = 6006^2 + 686^2 .

It is a junction number, because it is equal to n+sod(n) for n = 36542594 and 36542603.

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, 27978 + ... + 29254.

Almost surely, 236542632 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 36542632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40429530).

36542632 is an abundant number, since it is smaller than the sum of its proper divisors (44316428).

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

36542632 is a wasteful number, since it uses less digits than its factorization.

36542632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1359 counting only the distinct ones).

The product of its digits is 25920, while the sum is 31.

The square root of 36542632 is about 6045.0502065740. The cubic root of 36542632 is about 331.8434690567.

The spelling of 36542632 in words is "thirty-six million, five hundred forty-two thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 73 98 146 196 292 392 511 584 1022 1277 2044 2554 3577 4088 5108 7154 8939 10216 14308 17878 28616 35756 62573 71512 93221 125146 186442 250292 372884 500584 652547 745768 1305094 2610188 4567829 5220376 9135658 18271316 36542632