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5157776 = 2413137181
BaseRepresentation
bin10011101011001110010000
3100201001010202
4103223032100
52310022101
6302314332
761561151
oct23531620
910631122
105157776
112a03128
1218889a8
1310b7850
14983928
156bd36b
hex4eb390

5157776 has 40 divisors (see below), whose sum is σ = 10900344. Its totient is φ = 2350080.

The previous prime is 5157743. The next prime is 5157787. The reversal of 5157776 is 6777515.

It can be written as a sum of positive squares in 4 ways, for example, as 50176 + 5107600 = 224^2 + 2260^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 28406 + ... + 28586.

Almost surely, 25157776 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 5157776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5450172).

5157776 is an abundant number, since it is smaller than the sum of its proper divisors (5742568).

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

5157776 is a wasteful number, since it uses less digits than its factorization.

5157776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 333 counting only the distinct ones).

The product of its digits is 51450, while the sum is 38.

The square root of 5157776 is about 2271.0737548569. The cubic root of 5157776 is about 172.7776219878. Note that the first 3 decimals are identical.

The spelling of 5157776 in words is "five million, one hundred fifty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 52 104 137 181 208 274 362 548 724 1096 1448 1781 2192 2353 2896 3562 4706 7124 9412 14248 18824 24797 28496 37648 49594 99188 198376 322361 396752 644722 1289444 2578888 5157776