Search a number
-
+
36482240 = 265173659
BaseRepresentation
bin1000101100101…
…0110011000000
32112122111020002
42023022303000
533314412430
63341535132
7622044134
oct213126300
975574202
1036482240
1119658713
12102744a8
137734632
144bb93c4
153309845
hex22cacc0

36482240 has 56 divisors (see below), whose sum is σ = 87508080. Its totient is φ = 14486528.

The previous prime is 36482231. The next prime is 36482249. The reversal of 36482240 is 4228463.

It is an interprime number because it is at equal distance from previous prime (36482231) and next prime (36482249).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36482249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55031 + ... + 55689.

Almost surely, 236482240 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 36482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43754040).

36482240 is an abundant number, since it is smaller than the sum of its proper divisors (51025840).

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

36482240 is a wasteful number, since it uses less digits than its factorization.

36482240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 36482240 is about 6040.0529799001. The cubic root of 36482240 is about 331.6605617702.

The spelling of 36482240 in words is "thirty-six million, four hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 173 320 346 659 692 865 1318 1384 1730 2636 2768 3295 3460 5272 5536 6590 6920 10544 11072 13180 13840 21088 26360 27680 42176 52720 55360 105440 114007 210880 228014 456028 570035 912056 1140070 1824112 2280140 3648224 4560280 7296448 9120560 18241120 36482240