Search a number
-
+
36429484 = 22713412441
BaseRepresentation
bin1000101011110…
…1111010101100
32112112210212011
42022331322230
533311220414
63340451004
7621434260
oct212757254
975483764
1036429484
1119622013
1210249a64
137716610
144ba40a0
1532e8dc4
hex22bdeac

36429484 has 48 divisors (see below), whose sum is σ = 80410176. Its totient is φ = 14054400.

The previous prime is 36429473. The next prime is 36429509. The reversal of 36429484 is 48492463.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13704 + ... + 16144.

It is an arithmetic number, because the mean of its divisors is an integer number (1675212).

Almost surely, 236429484 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 36429484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40205088).

36429484 is an abundant number, since it is smaller than the sum of its proper divisors (43980692).

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

36429484 is a wasteful number, since it uses less digits than its factorization.

36429484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 2504 counting only the distinct ones).

The product of its digits is 165888, while the sum is 40.

The square root of 36429484 is about 6035.6842197053. The cubic root of 36429484 is about 331.5006161327.

It can be divided in two parts, 364 and 29484, that multiplied together give a square (10732176 = 32762).

The spelling of 36429484 in words is "thirty-six million, four hundred twenty-nine thousand, four hundred eighty-four".

Divisors: 1 2 4 7 13 14 26 28 41 52 82 91 164 182 287 364 533 574 1066 1148 2132 2441 3731 4882 7462 9764 14924 17087 31733 34174 63466 68348 100081 126932 200162 222131 400324 444262 700567 888524 1301053 1401134 2602106 2802268 5204212 9107371 18214742 36429484