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97405984 = 2513234149
BaseRepresentation
bin1011100111001…
…00110000100000
320210021201220001
411303210300200
5144413442414
613355425344
72261636314
oct563446040
9223251801
1097405984
114aa8a615
1228755254
1317245ba0
14cd17b44
158841074
hex5ce4c20

97405984 has 24 divisors (see below), whose sum is σ = 206520300. Its totient is φ = 44956416.

The previous prime is 97405969. The next prime is 97406009. The reversal of 97405984 is 48950479.

It can be written as a sum of positive squares in 2 ways, for example, as 85155984 + 12250000 = 9228^2 + 3500^2 .

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 3 ways as a sum of consecutive naturals, for example, 116659 + ... + 117490.

Almost surely, 297405984 is an apocalyptic number.

It is an amenable number.

97405984 is an abundant number, since it is smaller than the sum of its proper divisors (109114316).

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

97405984 is a wasteful number, since it uses less digits than its factorization.

97405984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234172 (or 234164 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 97405984 is about 9869.4469956528. The cubic root of 97405984 is about 460.1102193352.

It can be divided in two parts, 97405 and 984, that added together give a palindrome (98389).

The spelling of 97405984 in words is "ninety-seven million, four hundred five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 234149 468298 936596 1873192 3043937 3746384 6087874 7492768 12175748 24351496 48702992 97405984