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5198464 = 27172389
BaseRepresentation
bin10011110101001010000000
3100210002221201
4103311022000
52312322324
6303230544
762120605
oct23651200
910702851
105198464
112a30757
1218a8454
13110021b
149946ac
156ca444
hex4f5280

5198464 has 32 divisors (see below), whose sum is σ = 10970100. Its totient is φ = 2445312.

The previous prime is 5198449. The next prime is 5198467. The reversal of 5198464 is 4648915.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5198400 + 64 = 2280^2 + 8^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (5198467) 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, 982 + ... + 3370.

Almost surely, 25198464 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 5198464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5485050).

5198464 is an abundant number, since it is smaller than the sum of its proper divisors (5771636).

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

5198464 is a wasteful number, since it uses less digits than its factorization.

5198464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2408 counting only the distinct ones).

The product of its digits is 34560, while the sum is 37.

The square root of 5198464 is about 2280.0140350445. The cubic root of 5198464 is about 173.2307611413.

It can be divided in two parts, 51984 and 64, that multiplied together give a square (3326976 = 18242).

The spelling of 5198464 in words is "five million, one hundred ninety-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 2389 4778 9556 19112 38224 40613 76448 81226 152896 162452 305792 324904 649808 1299616 2599232 5198464