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5755350 = 2352173761
BaseRepresentation
bin10101111101000111010110
3101211101212010
4111331013112
52433132400
6323205050
766630306
oct25750726
911741763
105755350
113281097
121b16786
131266843
14a9b606
1578a450
hex57d1d6

5755350 has 96 divisors (see below), whose sum is σ = 15775776. Its totient is φ = 1382400.

The previous prime is 5755349. The next prime is 5755357. The reversal of 5755350 is 535575.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5755357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94320 + ... + 94380.

It is an arithmetic number, because the mean of its divisors is an integer number (164331).

Almost surely, 25755350 is an apocalyptic number.

5755350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5755350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7887888).

5755350 is an abundant number, since it is smaller than the sum of its proper divisors (10020426).

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

5755350 is a wasteful number, since it uses less digits than its factorization.

5755350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 13125, while the sum is 30.

The square root of 5755350 is about 2399.0310544051. The cubic root of 5755350 is about 179.2079395332.

It can be divided in two parts, 5755 and 350, that added together give a triangular number (6105 = T110).

The spelling of 5755350 in words is "five million, seven hundred fifty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 37 50 51 61 74 75 85 102 111 122 150 170 183 185 222 255 305 366 370 425 510 555 610 629 850 915 925 1037 1110 1258 1275 1525 1830 1850 1887 2074 2257 2550 2775 3050 3111 3145 3774 4514 4575 5185 5550 6222 6290 6771 9150 9435 10370 11285 13542 15555 15725 18870 22570 25925 31110 31450 33855 38369 47175 51850 56425 67710 76738 77775 94350 112850 115107 155550 169275 191845 230214 338550 383690 575535 959225 1151070 1918450 2877675 5755350