Search a number
-
+
475381900 = 2252719311153
BaseRepresentation
bin11100010101011…
…100000010001100
31020010111220101001
4130111130002030
51433144210100
6115101030044
714531452030
oct3425340214
91203456331
10475381900
11224382504
12113255324
1377645986
14471c81c0
152bb03d6a
hex1c55c08c

475381900 has 144 divisors (see below), whose sum is σ = 1282140160. Its totient is φ = 149299200.

The previous prime is 475381889. The next prime is 475381901. The reversal of 475381900 is 9183574.

It is a super-2 number, since 2×4753819002 = 451975901695220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 475381900.

It is not an unprimeable number, because it can be changed into a prime (475381901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411724 + ... + 412876.

Almost surely, 2475381900 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 475381900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641070080).

475381900 is an abundant number, since it is smaller than the sum of its proper divisors (806758260).

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

475381900 is a wasteful number, since it uses less digits than its factorization.

475381900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 475381900 is about 21803.2543442487. The cubic root of 475381900 is about 780.4544250992.

It can be divided in two parts, 475 and 381900, that added together give a triangular number (382375 = T874).

The spelling of 475381900 in words is "four hundred seventy-five million, three hundred eighty-one thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 31 35 38 50 62 70 76 95 100 124 133 140 155 175 190 217 266 310 350 380 434 475 532 589 620 665 700 775 868 950 1085 1153 1178 1330 1550 1900 2170 2306 2356 2660 2945 3100 3325 4123 4340 4612 5425 5765 5890 6650 8071 8246 10850 11530 11780 13300 14725 16142 16492 20615 21700 21907 23060 28825 29450 32284 35743 40355 41230 43814 57650 58900 71486 80710 82460 87628 103075 109535 115300 142972 153349 161420 178715 201775 206150 219070 250201 306698 357430 403550 412300 438140 500402 547675 613396 679117 714860 766745 807100 893575 1000804 1095350 1251005 1358234 1533490 1787150 2190700 2502010 2716468 3066980 3395585 3574300 3833725 4753819 5004020 6255025 6791170 7667450 9507638 12510050 13582340 15334900 16977925 19015276 23769095 25020100 33955850 47538190 67911700 95076380 118845475 237690950 475381900