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36216832 = 2134421
BaseRepresentation
bin1000101000101…
…0000000000000
32112011000011011
42022022000000
533232414312
63332130304
7616560301
oct212120000
975130134
1036216832
1119497273
1210166994
1376708a2
144b4a7a8
1532a5da7
hex228a000

36216832 has 28 divisors (see below), whose sum is σ = 72445626. Its totient is φ = 18104320.

The previous prime is 36216823. The next prime is 36216841. The reversal of 36216832 is 23861263.

It is an interprime number because it is at equal distance from previous prime (36216823) and next prime (36216841).

It can be written as a sum of positive squares in only one way, i.e., 25563136 + 10653696 = 5056^2 + 3264^2 .

It is a junction number, because it is equal to n+sod(n) for n = 36216794 and 36216803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5982 + ... + 10402.

Almost surely, 236216832 is an apocalyptic number.

36216832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36216832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36222813).

36216832 is an abundant number, since it is smaller than the sum of its proper divisors (36228794).

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

36216832 is an frugal number, since it uses more digits than its factorization.

36216832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4447 (or 4423 counting only the distinct ones).

The product of its digits is 10368, while the sum is 31.

The square root of 36216832 is about 6018.0422065652. The cubic root of 36216832 is about 330.8543275167.

The spelling of 36216832 in words is "thirty-six million, two hundred sixteen thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 4421 8192 8842 17684 35368 70736 141472 282944 565888 1131776 2263552 4527104 9054208 18108416 36216832