Search a number
-
+
36830848 = 271671723
BaseRepresentation
bin1000110001111…
…1111010000000
32120022012102111
42030133322000
533412041343
63353225104
7625025365
oct214377200
976265374
1036830848
111987661a
1210402194
137827202
144c6a46c
153377c9d
hex231fe80

36830848 has 32 divisors (see below), whose sum is σ = 73856160. Its totient is φ = 18294528.

The previous prime is 36830837. The next prime is 36830869. The reversal of 36830848 is 84803863.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×368308482 = 2713022728798208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 36830848.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20515 + ... + 22237.

It is an arithmetic number, because the mean of its divisors is an integer number (2308005).

Almost surely, 236830848 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 36830848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36928080).

36830848 is an abundant number, since it is smaller than the sum of its proper divisors (37025312).

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

36830848 is a wasteful number, since it uses less digits than its factorization.

36830848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 36830848 is about 6068.8423937354. The cubic root of 36830848 is about 332.7136147830.

The spelling of 36830848 in words is "thirty-six million, eight hundred thirty thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 167 334 668 1336 1723 2672 3446 5344 6892 10688 13784 21376 27568 55136 110272 220544 287741 575482 1150964 2301928 4603856 9207712 18415424 36830848