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36280872 = 23366221
BaseRepresentation
bin1000101001100…
…1101000101000
32112021021000000
42022121220220
533241441442
63333343000
7620245065
oct212315050
975237000
1036280872
11195303a1
1210197a60
137693a94
144b65c6c
1532b9d4c
hex2299a28

36280872 has 56 divisors (see below), whose sum is σ = 102009690. Its totient is φ = 12091680.

The previous prime is 36280801. The next prime is 36280879. The reversal of 36280872 is 27808263.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 35928036 + 352836 = 5994^2 + 594^2 .

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

It is not an unprimeable number, because it can be changed into a prime (36280879) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2722 + ... + 8942.

Almost surely, 236280872 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 36280872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51004845).

36280872 is an abundant number, since it is smaller than the sum of its proper divisors (65728818).

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

36280872 is an equidigital number, since it uses as much as digits as its factorization.

36280872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6245 (or 6226 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 36280872 is about 6023.3605238272. The cubic root of 36280872 is about 331.0492224848.

The spelling of 36280872 in words is "thirty-six million, two hundred eighty thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 6221 12442 18663 24884 37326 49768 55989 74652 111978 149304 167967 223956 335934 447912 503901 671868 1007802 1343736 1511703 2015604 3023406 4031208 4535109 6046812 9070218 12093624 18140436 36280872