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36772096 = 283792
BaseRepresentation
bin1000110001000…
…1100100000000
32120012012211111
42030101210000
533403201341
63352053104
7624362164
oct214214400
976165744
1036772096
1119836469
1210394194
13780654a
144c52ca4
153365681
hex2311900

36772096 has 27 divisors (see below), whose sum is σ = 73594731. Its totient is φ = 18337536.

The previous prime is 36772019. The next prime is 36772103. The reversal of 36772096 is 69027763.

The square root of 36772096 is 6064.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 96835 + ... + 97213.

Almost surely, 236772096 is an apocalyptic number.

36772096 is the 6064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36772096

36772096 is an abundant number, since it is smaller than the sum of its proper divisors (36822635).

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

36772096 is an frugal number, since it uses more digits than its factorization.

36772096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 40.

The cubic root of 36772096 is about 332.5366074229.

The spelling of 36772096 in words is "thirty-six million, seven hundred seventy-two thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 379 758 1516 3032 6064 12128 24256 48512 97024 143641 287282 574564 1149128 2298256 4596512 9193024 18386048 36772096