Search a number
-
+
36620992 = 261797347
BaseRepresentation
bin1000101110110…
…0101011000000
32112220112120001
42023230223000
533333332432
63344525344
7623162512
oct213545300
975815501
1036620992
1119742991
1210320854
137782835
144c13bb2
1533359e7
hex22ecac0

36620992 has 56 divisors (see below), whose sum is σ = 77961744. Its totient is φ = 17006592.

The previous prime is 36620989. The next prime is 36621001. The reversal of 36620992 is 29902663.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 105363 + ... + 105709.

It is an arithmetic number, because the mean of its divisors is an integer number (1392174).

Almost surely, 236620992 is an apocalyptic number.

36620992 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 36620992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38980872).

36620992 is an abundant number, since it is smaller than the sum of its proper divisors (41340752).

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

36620992 is a wasteful number, since it uses less digits than its factorization.

36620992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 37.

The square root of 36620992 is about 6051.5280714874. The cubic root of 36620992 is about 332.0804953123.

The spelling of 36620992 in words is "thirty-six million, six hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 97 136 194 272 347 388 544 694 776 1088 1388 1552 1649 2776 3104 3298 5552 5899 6208 6596 11104 11798 13192 22208 23596 26384 33659 47192 52768 67318 94384 105536 134636 188768 269272 377536 538544 572203 1077088 1144406 2154176 2288812 4577624 9155248 18310496 36620992