Search a number
-
+
5662496 = 257171487
BaseRepresentation
bin10101100110011100100000
3101122200111002
4111212130200
52422144441
6321211132
766062510
oct25463440
911580432
105662496
113218354
121a90aa8
1312334b8
14a75840
1576cb9b
hex566720

5662496 has 48 divisors (see below), whose sum is σ = 13499136. Its totient is φ = 2282496.

The previous prime is 5662487. The next prime is 5662499. The reversal of 5662496 is 6942665.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5662499) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3065 + ... + 4551.

It is an arithmetic number, because the mean of its divisors is an integer number (281232).

Almost surely, 25662496 is an apocalyptic number.

5662496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5662496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749568).

5662496 is an abundant number, since it is smaller than the sum of its proper divisors (7836640).

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

5662496 is a wasteful number, since it uses less digits than its factorization.

5662496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1513 counting only the distinct ones).

The product of its digits is 77760, while the sum is 38.

The square root of 5662496 is about 2379.5999663809. The cubic root of 5662496 is about 178.2389586153.

The spelling of 5662496 in words is "five million, six hundred sixty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1487 1904 2974 3808 5948 10409 11896 20818 23792 25279 41636 47584 50558 83272 101116 166544 176953 202232 333088 353906 404464 707812 808928 1415624 2831248 5662496