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5749400 = 2352171989
BaseRepresentation
bin10101111011101010011000
3101211002200202
4111323222120
52432440100
6323121332
766604046
oct25735230
911732622
105749400
113277678
121b13248
131263c17
14a99396
157887d5
hex57ba98

5749400 has 96 divisors (see below), whose sum is σ = 15066000. Its totient is φ = 2027520.

The previous prime is 5749397. The next prime is 5749409. The reversal of 5749400 is 49475.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5749409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64556 + ... + 64644.

Almost surely, 25749400 is an apocalyptic number.

5749400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5749400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7533000).

5749400 is an abundant number, since it is smaller than the sum of its proper divisors (9316600).

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

5749400 is a wasteful number, since it uses less digits than its factorization.

5749400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 5749400 is about 2397.7906497441. The cubic root of 5749400 is about 179.1461619464.

The spelling of 5749400 in words is "five million, seven hundred forty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 19 20 25 34 38 40 50 68 76 85 89 95 100 136 152 170 178 190 200 323 340 356 380 425 445 475 646 680 712 760 850 890 950 1292 1513 1615 1691 1700 1780 1900 2225 2584 3026 3230 3382 3400 3560 3800 4450 6052 6460 6764 7565 8075 8455 8900 12104 12920 13528 15130 16150 16910 17800 28747 30260 32300 33820 37825 42275 57494 60520 64600 67640 75650 84550 114988 143735 151300 169100 229976 287470 302600 338200 574940 718675 1149880 1437350 2874700 5749400