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36313164 = 2233834051
BaseRepresentation
bin1000101010000…
…1100001001100
32112022220022000
42022201201030
533244010124
63334152300
7620441166
oct212414114
975286260
1036313164
1119552688
12101b2690
1376a56a4
144b73936
1532c46c9
hex22a184c

36313164 has 48 divisors (see below), whose sum is σ = 95303040. Its totient is φ = 11955600.

The previous prime is 36313141. The next prime is 36313171. The reversal of 36313164 is 46131363.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6939 + ... + 10989.

It is an arithmetic number, because the mean of its divisors is an integer number (1985480).

Almost surely, 236313164 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 36313164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47651520).

36313164 is an abundant number, since it is smaller than the sum of its proper divisors (58989876).

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

36313164 is a wasteful number, since it uses less digits than its factorization.

36313164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4147 (or 4139 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 36313164 is about 6026.0404910687. The cubic root of 36313164 is about 331.1474107848.

The spelling of 36313164 in words is "thirty-six million, three hundred thirteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 83 108 166 249 332 498 747 996 1494 2241 2988 4051 4482 8102 8964 12153 16204 24306 36459 48612 72918 109377 145836 218754 336233 437508 672466 1008699 1344932 2017398 3026097 4034796 6052194 9078291 12104388 18156582 36313164