Search a number
-
+
57255571800 = 23325274544093
BaseRepresentation
bin110101010100101100…
…101011000101011000
312110210020110102000100
4311110230223011120
51414224411244200
642145225335400
74064563221210
oct652454530530
9173706412010
1057255571800
1122311306589
12b11a937560
135525cb948b
142ab21b7240
151751843d00
hexd54b2b158

57255571800 has 144 divisors (see below), whose sum is σ = 219752385840. Its totient is φ = 13086984960.

The previous prime is 57255571741. The next prime is 57255571817. The reversal of 57255571800 is 817555275.

57255571800 is a `hidden beast` number, since 5 + 72 + 5 + 5 + 571 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2259447 + ... + 2284646.

It is an arithmetic number, because the mean of its divisors is an integer number (1526058235).

Almost surely, 257255571800 is an apocalyptic number.

57255571800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57255571800 is an abundant number, since it is smaller than the sum of its proper divisors (162496814040).

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

57255571800 is a wasteful number, since it uses less digits than its factorization.

57255571800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4544122 (or 4544110 counting only the distinct ones).

The product of its (nonzero) digits is 490000, while the sum is 45.

The spelling of 57255571800 in words is "fifty-seven billion, two hundred fifty-five million, five hundred seventy-one thousand, eight hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1260 1400 1575 1800 2100 2520 3150 4200 6300 12600 4544093 9088186 13632279 18176372 22720465 27264558 31808651 36352744 40896837 45440930 54529116 63617302 68161395 81793674 90881860 95425953 109058232 113602325 127234604 136322790 159043255 163587348 181763720 190851906 204484185 227204650 254469208 272645580 286277859 318086510 327174696 340806975 381703812 408968370 454409300 477129765 545291160 572555718 636173020 681613950 763407624 795216275 817936740 908818600 954259530 1022420925 1145111436 1272346040 1363227900 1431389295 1590432550 1635873480 1908519060 2044841850 2290222872 2385648825 2726455800 2862778590 3180865100 3817038120 4089683700 4771297650 5725557180 6361730200 7156946475 8179367400 9542595300 11451114360 14313892950 19085190600 28627785900 57255571800