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5755248 = 2432172351
BaseRepresentation
bin10101111101000101110000
3101211101201100
4111331011300
52433131443
6323204400
766630102
oct25750560
911741640
105755248
113281004
121b16700
131266795
14a9b572
1578a3d3
hex57d170

5755248 has 60 divisors (see below), whose sum is σ = 17061408. Its totient is φ = 1804800.

The previous prime is 5755237. The next prime is 5755261. The reversal of 5755248 is 8425575.

It is a happy number.

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1273 + ... + 3623.

Almost surely, 25755248 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 5755248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530704).

5755248 is an abundant number, since it is smaller than the sum of its proper divisors (11306160).

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

5755248 is a wasteful number, since it uses less digits than its factorization.

5755248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2382 (or 2373 counting only the distinct ones).

The product of its digits is 56000, while the sum is 36.

The square root of 5755248 is about 2399.0097957282. The cubic root of 5755248 is about 179.2068808476.

It can be divided in two parts, 57552 and 48, that added together give a square (57600 = 2402).

The spelling of 5755248 in words is "five million, seven hundred fifty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2351 2448 4702 7053 9404 14106 18808 21159 28212 37616 39967 42318 56424 79934 84636 112848 119901 159868 169272 239802 319736 338544 359703 479604 639472 719406 959208 1438812 1918416 2877624 5755248