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56676150 = 232522943101
BaseRepresentation
bin1101100000110…
…0111100110110
310221122110001200
43120030330312
5104002114100
65342433330
71255511406
oct330147466
9127573050
1056676150
1129aa06a3
1216b92846
13b9850ab
147754806
154e97e00
hex360cf36

56676150 has 144 divisors (see below), whose sum is σ = 162779760. Its totient is φ = 14112000.

The previous prime is 56676143. The next prime is 56676161. The reversal of 56676150 is 5167665.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 561100 + ... + 561200.

It is an arithmetic number, because the mean of its divisors is an integer number (1130415).

Almost surely, 256676150 is an apocalyptic number.

56676150 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 56676150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81389880).

56676150 is an abundant number, since it is smaller than the sum of its proper divisors (106103610).

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

56676150 is a wasteful number, since it uses less digits than its factorization.

56676150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 56676150 is about 7528.3563943267. The cubic root of 56676150 is about 384.1198763104.

The spelling of 56676150 in words is "fifty-six million, six hundred seventy-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 43 45 50 58 75 86 87 90 101 129 145 150 174 202 215 225 258 261 290 303 387 430 435 450 505 522 606 645 725 774 870 909 1010 1075 1247 1290 1305 1450 1515 1818 1935 2150 2175 2494 2525 2610 2929 3030 3225 3741 3870 4343 4350 4545 5050 5858 6235 6450 6525 7482 7575 8686 8787 9090 9675 11223 12470 13029 13050 14645 15150 17574 18705 19350 21715 22446 22725 26058 26361 29290 31175 37410 39087 43430 43935 45450 52722 56115 62350 65145 73225 78174 87870 93525 108575 112230 125947 130290 131805 146450 187050 195435 217150 219675 251894 263610 280575 325725 377841 390870 439350 561150 629735 651450 659025 755682 977175 1133523 1259470 1318050 1889205 1954350 2267046 3148675 3778410 5667615 6297350 9446025 11335230 18892050 28338075 56676150