Search a number
-
+
97569216 = 2632233727
BaseRepresentation
bin1011101000011…
…00100111000000
320210121000210200
411310030213000
5144434203331
613403125200
72263216233
oct564144700
9223530720
1097569216
1150091218
1228813800
13172a2284
14cd5b41a
1588745e6
hex5d0c9c0

97569216 has 84 divisors (see below), whose sum is σ = 281251152. Its totient is φ = 32338944.

The previous prime is 97569209. The next prime is 97569229. The reversal of 97569216 is 61296579.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133845 + ... + 134571.

It is an arithmetic number, because the mean of its divisors is an integer number (3348228).

Almost surely, 297569216 is an apocalyptic number.

97569216 is a gapful number since it is divisible by the number (96) 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 97569216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140625576).

97569216 is an abundant number, since it is smaller than the sum of its proper divisors (183681936).

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

97569216 is a wasteful number, since it uses less digits than its factorization.

97569216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 965 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 97569216 is about 9877.7130956512. The cubic root of 97569216 is about 460.3670919763.

The spelling of 97569216 in words is "ninety-seven million, five hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 233 288 466 576 699 727 932 1398 1454 1864 2097 2181 2796 2908 3728 4194 4362 5592 5816 6543 7456 8388 8724 11184 11632 13086 14912 16776 17448 22368 23264 26172 33552 34896 44736 46528 52344 67104 69792 104688 134208 139584 169391 209376 338782 418752 508173 677564 1016346 1355128 1524519 2032692 2710256 3049038 4065384 5420512 6098076 8130768 10841024 12196152 16261536 24392304 32523072 48784608 97569216