Search a number
-
+
5190656 = 21037137
BaseRepresentation
bin10011110011010000000000
3100202201020112
4103303100000
52312100111
6303130452
762056052
oct23632000
910681215
105190656
112a258a9
1218a3a28
1310c97c3
149918d2
156c7e8b
hex4f3400

5190656 has 44 divisors (see below), whose sum is σ = 10734468. Its totient is φ = 2506752.

The previous prime is 5190649. The next prime is 5190701. The reversal of 5190656 is 6560915.

It can be written as a sum of positive squares in 2 ways, for example, as 3936256 + 1254400 = 1984^2 + 1120^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37820 + ... + 37956.

Almost surely, 25190656 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 5190656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5367234).

5190656 is an abundant number, since it is smaller than the sum of its proper divisors (5543812).

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

5190656 is a wasteful number, since it uses less digits than its factorization.

5190656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 32.

The square root of 5190656 is about 2278.3011214499. The cubic root of 5190656 is about 173.1439878473.

The spelling of 5190656 in words is "five million, one hundred ninety thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 137 148 256 274 296 512 548 592 1024 1096 1184 2192 2368 4384 4736 5069 8768 9472 10138 17536 18944 20276 35072 37888 40552 70144 81104 140288 162208 324416 648832 1297664 2595328 5190656