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36238752 = 2534113141
BaseRepresentation
bin1000101000111…
…1010110100000
32112012010020000
42022033112200
533234120002
63332420000
7620011224
oct212172640
975163200
1036238752
1119501790
1210177600
13767a864
144b54784
1532ac61c
hex228f5a0

36238752 has 240 divisors, whose sum is σ = 122943744. Its totient is φ = 10368000.

The previous prime is 36238751. The next prime is 36238789. The reversal of 36238752 is 25783263.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (60480) is a multiple of the sum of its prime factors (105).

It is not an unprimeable number, because it can be changed into a prime (36238751) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 883852 + ... + 883892.

Almost surely, 236238752 is an apocalyptic number.

36238752 is a gapful number since it is divisible by the number (32) 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 36238752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61471872).

36238752 is an abundant number, since it is smaller than the sum of its proper divisors (86704992).

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

36238752 is a wasteful number, since it uses less digits than its factorization.

36238752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 88 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 36238752 is about 6019.8631213675. The cubic root of 36238752 is about 330.9210631919.

The spelling of 36238752 in words is "thirty-six million, two hundred thirty-eight thousand, seven hundred fifty-two".