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472207104 = 2833531289
BaseRepresentation
bin11100001001010…
…100111100000000
31012220112121101000
4130021110330000
51431341111404
6114505012000
714462460045
oct3411247400
91186477330
10472207104
11222604206
12112184000
1376aa38b5
14469dd1cc
152b6c8339
hex1c254f00

472207104 has 144 divisors (see below), whose sum is σ = 1423850400. Its totient is φ = 154312704.

The previous prime is 472207093. The next prime is 472207111. The reversal of 472207104 is 401702274.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365692 + ... + 366980.

It is an arithmetic number, because the mean of its divisors is an integer number (9887850).

Almost surely, 2472207104 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 472207104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711925200).

472207104 is an abundant number, since it is smaller than the sum of its proper divisors (951643296).

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

472207104 is a wasteful number, since it uses less digits than its factorization.

472207104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 472207104 is about 21730.3268268105. The cubic root of 472207104 is about 778.7131443661.

Adding to 472207104 its reverse (401702274), we get a palindrome (873909378).

The spelling of 472207104 in words is "four hundred seventy-two million, two hundred seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 96 106 108 128 144 159 192 212 216 256 288 318 384 424 432 477 576 636 768 848 864 954 1152 1272 1289 1431 1696 1728 1908 2304 2544 2578 2862 3392 3456 3816 3867 5088 5156 5724 6784 6912 7632 7734 10176 10312 11448 11601 13568 15264 15468 20352 20624 22896 23202 30528 30936 34803 40704 41248 45792 46404 61056 61872 68317 69606 82496 91584 92808 122112 123744 136634 139212 164992 183168 185616 204951 247488 273268 278424 329984 366336 371232 409902 494976 546536 556848 614853 742464 819804 989952 1093072 1113696 1229706 1484928 1639608 1844559 2186144 2227392 2459412 2969856 3279216 3689118 4372288 4454784 4918824 6558432 7378236 8744576 8909568 9837648 13116864 14756472 17489152 19675296 26233728 29512944 39350592 52467456 59025888 78701184 118051776 157402368 236103552 472207104