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5097564 = 2232374389
BaseRepresentation
bin10011011100100001011100
3100120222112200
4103130201130
52301110224
6301131500
761220463
oct23344134
910528480
105097564
11297196a
121859b90
131096314
149699da
156aa5c9
hex4dc85c

5097564 has 72 divisors (see below), whose sum is σ = 13693680. Its totient is φ = 1596672.

The previous prime is 5097563. The next prime is 5097577. The reversal of 5097564 is 4657905.

5097564 is a `hidden beast` number, since 5 + 0 + 97 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5097563) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 57232 + ... + 57320.

It is an arithmetic number, because the mean of its divisors is an integer number (190190).

Almost surely, 25097564 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 5097564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6846840).

5097564 is an abundant number, since it is smaller than the sum of its proper divisors (8596116).

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

5097564 is a wasteful number, since it uses less digits than its factorization.

5097564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5097564 is about 2257.7785542431. The cubic root of 5097564 is about 172.1026519021.

The spelling of 5097564 in words is "five million, ninety-seven thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 43 74 86 89 111 129 148 172 178 222 258 267 333 356 387 444 516 534 666 774 801 1068 1332 1548 1591 1602 3182 3204 3293 3827 4773 6364 6586 7654 9546 9879 11481 13172 14319 15308 19092 19758 22962 28638 29637 34443 39516 45924 57276 59274 68886 118548 137772 141599 283198 424797 566396 849594 1274391 1699188 2548782 5097564