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36049104 = 24337213131
BaseRepresentation
bin1000100110000…
…1000011010000
32111211111002000
42021201003100
533212032404
63324354000
7615261300
oct211410320
974744060
1036049104
1119392253
12100a5900
137612440
144b05600
153271339
hex22610d0

36049104 has 240 divisors, whose sum is σ = 130616640. Its totient is φ = 9434880.

The previous prime is 36049103. The next prime is 36049193. The reversal of 36049104 is 40194063.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36049103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275119 + ... + 275249.

It is an arithmetic number, because the mean of its divisors is an integer number (544236).

Almost surely, 236049104 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 36049104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65308320).

36049104 is an abundant number, since it is smaller than the sum of its proper divisors (94567536).

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

36049104 is a wasteful number, since it uses less digits than its factorization.

36049104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 36049104 is about 6004.0906055788. The cubic root of 36049104 is about 330.3427843087.

The spelling of 36049104 in words is "thirty-six million, forty-nine thousand, one hundred four".