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97424384 = 210891069
BaseRepresentation
bin1011100111010…
…01010000000000
320210022200010112
411303221100000
5144420040014
613400050452
72262044051
oct563512000
9223280115
1097424384
114aaa2422
1228763a28
1317251385
14cd20728
15884673e
hex5ce9400

97424384 has 44 divisors (see below), whose sum is σ = 197126100. Its totient is φ = 48119808.

The previous prime is 97424377. The next prime is 97424387. The reversal of 97424384 is 48342479.

It can be written as a sum of positive squares in 2 ways, for example, as 31360000 + 66064384 = 5600^2 + 8128^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97424387) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 90602 + ... + 91670.

Almost surely, 297424384 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 97424384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98563050).

97424384 is an abundant number, since it is smaller than the sum of its proper divisors (99701716).

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

97424384 is a wasteful number, since it uses less digits than its factorization.

97424384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1160 counting only the distinct ones).

The product of its digits is 193536, while the sum is 41.

The square root of 97424384 is about 9870.3791213914. The cubic root of 97424384 is about 460.1391891331.

The spelling of 97424384 in words is "ninety-seven million, four hundred twenty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 356 512 712 1024 1069 1424 2138 2848 4276 5696 8552 11392 17104 22784 34208 45568 68416 91136 95141 136832 190282 273664 380564 547328 761128 1094656 1522256 3044512 6089024 12178048 24356096 48712192 97424384