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55857150 = 232521947139
BaseRepresentation
bin1101010100010…
…0111111111110
310220002211121100
43111010333332
5103244412100
65313113530
71245530556
oct325047776
9126084540
1055857150
1129591338
12168588a6
13b75938b
1475c0166
154d85400
hex3544ffe

55857150 has 144 divisors (see below), whose sum is σ = 162489600. Its totient is φ = 13711680.

The previous prime is 55857107. The next prime is 55857157. The reversal of 55857150 is 5175855.

55857150 is a `hidden beast` number, since 5 + 585 + 71 + 5 + 0 = 666.

It is a super-2 number, since 2×558571502 = 6240042412245000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55857157) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 401781 + ... + 401919.

It is an arithmetic number, because the mean of its divisors is an integer number (1128400).

Almost surely, 255857150 is an apocalyptic number.

55857150 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 55857150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81244800).

55857150 is an abundant number, since it is smaller than the sum of its proper divisors (106632450).

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

55857150 is a wasteful number, since it uses less digits than its factorization.

55857150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 35000, while the sum is 36.

The square root of 55857150 is about 7473.7641118783. The cubic root of 55857150 is about 382.2606473836.

The spelling of 55857150 in words is "fifty-five million, eight hundred fifty-seven thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 47 50 57 75 90 94 95 114 139 141 150 171 190 225 235 278 282 285 342 417 423 450 470 475 570 695 705 834 846 855 893 950 1175 1251 1390 1410 1425 1710 1786 2085 2115 2350 2502 2641 2679 2850 3475 3525 4170 4230 4275 4465 5282 5358 6255 6533 6950 7050 7923 8037 8550 8930 10425 10575 12510 13066 13205 13395 15846 16074 19599 20850 21150 22325 23769 26410 26790 31275 32665 39198 39615 40185 44650 47538 58797 62550 65330 66025 66975 79230 80370 97995 117594 118845 124127 132050 133950 163325 195990 198075 200925 237690 248254 293985 326650 372381 396150 401850 489975 587970 594225 620635 744762 979950 1117143 1188450 1241270 1469925 1861905 2234286 2939850 3103175 3723810 5585715 6206350 9309525 11171430 18619050 27928575 55857150