Search a number
-
+
36990492 = 22373111943
BaseRepresentation
bin1000110100011…
…0111000011100
32120121022102020
42031012320130
533432143432
63400500140
7626262000
oct215067034
976538366
1036990492
1119975560
121047a650
137881a86
144cac700
1533aa22c
hex2346e1c

36990492 has 192 divisors, whose sum is σ = 118272000. Its totient is φ = 8890560.

The previous prime is 36990451. The next prime is 36990539. The reversal of 36990492 is 29409963.

It is a super-3 number, since 3×369904923 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 860223 + ... + 860265.

It is an arithmetic number, because the mean of its divisors is an integer number (616000).

Almost surely, 236990492 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 36990492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59136000).

36990492 is an abundant number, since it is smaller than the sum of its proper divisors (81281508).

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

36990492 is a wasteful number, since it uses less digits than its factorization.

36990492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 36990492 is about 6081.9809272966. The cubic root of 36990492 is about 333.1936396875.

It can be divided in two parts, 36 and 990492, that added together give a triangular number (990528 = T1407).

The spelling of 36990492 in words is "thirty-six million, nine hundred ninety thousand, four hundred ninety-two".