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36428952 = 2337230977
BaseRepresentation
bin1000101011110…
…1110010011000
32112112210010110
42022331302120
533311211302
63340444320
7621432600
oct212756230
975483113
1036428952
111962167a
12102496a0
1377162c1
144ba3c00
1532e8b6c
hex22bdc98

36428952 has 48 divisors (see below), whose sum is σ = 105944760. Its totient is φ = 10407936.

The previous prime is 36428929. The next prime is 36428957. The reversal of 36428952 is 25982463.

It is a happy number.

36428952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×364289524 (a number of 31 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 36428952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36428957) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 14313 + ... + 16664.

Almost surely, 236428952 is an apocalyptic number.

It is an amenable number.

36428952 is an abundant number, since it is smaller than the sum of its proper divisors (69515808).

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

36428952 is a wasteful number, since it uses less digits than its factorization.

36428952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31000 (or 30989 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 36428952 is about 6035.6401483190. The cubic root of 36428952 is about 331.4990024289.

The spelling of 36428952 in words is "thirty-six million, four hundred twenty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 30977 61954 92931 123908 185862 216839 247816 371724 433678 650517 743448 867356 1301034 1517873 1734712 2602068 3035746 4553619 5204136 6071492 9107238 12142984 18214476 36428952