Search a number
-
+
475442352 = 243371114293
BaseRepresentation
bin11100010101101…
…010110010110000
31020010121222022000
4130111222302300
51433203123402
6115102214000
714532123210
oct3425526260
91203558260
10475442352
11224413970
12113284300
1377667348
1447202240
152bb16c1c
hex1c56acb0

475442352 has 160 divisors (see below), whose sum is σ = 1701557760. Its totient is φ = 123482880.

The previous prime is 475442333. The next prime is 475442353. The reversal of 475442352 is 253244574.

475442352 is a `hidden beast` number, since 47 + 544 + 23 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475442353) 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, 26118 + ... + 40410.

It is an arithmetic number, because the mean of its divisors is an integer number (10634736).

Almost surely, 2475442352 is an apocalyptic number.

475442352 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475442352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850778880).

475442352 is an abundant number, since it is smaller than the sum of its proper divisors (1226115408).

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

475442352 is a wasteful number, since it uses less digits than its factorization.

475442352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14328 (or 14316 counting only the distinct ones).

The product of its digits is 134400, while the sum is 36.

The square root of 475442352 is about 21804.6406069901. The cubic root of 475442352 is about 780.4875058925.

The spelling of 475442352 in words is "four hundred seventy-five million, four hundred forty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 693 756 792 924 1008 1188 1232 1386 1512 1584 1848 2079 2376 2772 3024 3696 4158 4752 5544 8316 11088 14293 16632 28586 33264 42879 57172 85758 100051 114344 128637 157223 171516 200102 228688 257274 300153 314446 343032 385911 400204 471669 514548 600306 628892 686064 771822 800408 900459 943338 1029096 1100561 1200612 1257784 1415007 1543644 1600816 1800918 1886676 2058192 2201122 2401224 2515568 2701377 2830014 3087288 3301683 3601836 3773352 4245021 4402244 4802448 5402754 5660028 6174576 6603366 7203672 7546704 8490042 8804488 9905049 10805508 11320056 13206732 14407344 16980084 17608976 19810098 21611016 22640112 26413464 29715147 33960168 39620196 43222032 52826928 59430294 67920336 79240392 118860588 158480784 237721176 475442352