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97494208 = 267269809
BaseRepresentation
bin1011100111110…
…10010011000000
320210110012220121
411303322103000
5144424303313
613401350024
72262454450
oct563722300
9223405817
1097494208
115003a929
1228798314
13172770a6
14cd3bd60
15885c28d
hex5cfa4c0

97494208 has 56 divisors (see below), whose sum is σ = 222199200. Its totient is φ = 41576448.

The previous prime is 97494191. The next prime is 97494211. The reversal of 97494208 is 80249479.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120108 + ... + 120916.

Almost surely, 297494208 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 97494208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111099600).

97494208 is an abundant number, since it is smaller than the sum of its proper divisors (124704992).

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

97494208 is a wasteful number, since it uses less digits than its factorization.

97494208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 97494208 is about 9873.9155353892. The cubic root of 97494208 is about 460.2490900461.

The spelling of 97494208 in words is "ninety-seven million, four hundred ninety-four thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 269 448 538 809 1076 1618 1883 2152 3236 3766 4304 5663 6472 7532 8608 11326 12944 15064 17216 22652 25888 30128 45304 51776 60256 90608 120512 181216 217621 362432 435242 870484 1523347 1740968 3046694 3481936 6093388 6963872 12186776 13927744 24373552 48747104 97494208