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200461872 = 243133143241
BaseRepresentation
bin10111111001011…
…00111000110000
3111222012111222210
423330230320300
5402304234442
631520332120
74652616642
oct1374547060
9458174883
10200461872
11a3178a76
1257174040
13326b95c0
141c8a2892
15128eb19c
hexbf2ce30

200461872 has 160 divisors (see below), whose sum is σ = 591517696. Its totient is φ = 58060800.

The previous prime is 200461867. The next prime is 200461873. The reversal of 200461872 is 278164002.

It is not an unprimeable number, because it can be changed into a prime (200461873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 831672 + ... + 831912.

Almost surely, 2200461872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200461872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295758848).

200461872 is an abundant number, since it is smaller than the sum of its proper divisors (391055824).

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

200461872 is a wasteful number, since it uses less digits than its factorization.

200461872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 200461872 is about 14158.4558480083. The cubic root of 200461872 is about 585.2533755222.

The spelling of 200461872 in words is "two hundred million, four hundred sixty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 43 48 52 62 78 86 93 104 124 129 156 172 186 208 241 248 258 312 344 372 403 482 496 516 559 624 688 723 744 806 964 1032 1118 1209 1333 1446 1488 1612 1677 1928 2064 2236 2418 2666 2892 3133 3224 3354 3856 3999 4472 4836 5332 5784 6266 6448 6708 7471 7998 8944 9399 9672 10363 10664 11568 12532 13416 14942 15996 17329 18798 19344 20726 21328 22413 25064 26832 29884 31089 31992 34658 37596 41452 44826 50128 51987 59768 62178 63984 69316 75192 82904 89652 97123 103974 119536 124356 134719 138632 150384 165808 179304 194246 207948 248712 269438 277264 291369 321253 358608 388492 404157 415896 497424 538876 582738 642506 776984 808314 831792 963759 1077752 1165476 1285012 1553968 1616628 1927518 2155504 2330952 2570024 3233256 3855036 4176289 4661904 5140048 6466512 7710072 8352578 12528867 15420144 16705156 25057734 33410312 50115468 66820624 100230936 200461872