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5175768 = 2331353313
BaseRepresentation
bin10011101111100111011000
3100201221211010
4103233213120
52311111033
6302533520
761664463
oct23574730
910657733
105175768
112a156a4
1218972a0
1310c2ab0
1498a2da
156c3863
hex4ef9d8

5175768 has 64 divisors (see below), whose sum is σ = 14243040. Its totient is φ = 1557504.

The previous prime is 5175767. The next prime is 5175811. The reversal of 5175768 is 8675715.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5175763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16380 + ... + 16692.

Almost surely, 25175768 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 5175768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7121520).

5175768 is an abundant number, since it is smaller than the sum of its proper divisors (9067272).

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

5175768 is a wasteful number, since it uses less digits than its factorization.

5175768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 384 counting only the distinct ones).

The product of its digits is 58800, while the sum is 39.

The square root of 5175768 is about 2275.0314283543. The cubic root of 5175768 is about 172.9782903472.

The spelling of 5175768 in words is "five million, one hundred seventy-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 53 78 104 106 156 159 212 312 313 318 424 626 636 689 939 1252 1272 1378 1878 2067 2504 2756 3756 4069 4134 5512 7512 8138 8268 12207 16276 16536 16589 24414 32552 33178 48828 49767 66356 97656 99534 132712 199068 215657 398136 431314 646971 862628 1293942 1725256 2587884 5175768