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475345024 = 27711172837
BaseRepresentation
bin11100010101010…
…011000010000000
31020010110000210021
4130111103002000
51433142020044
6115100143224
714531236360
oct3425230200
91203400707
10475345024
11224357830
12113237b14
1377631c5b
14471b89a0
152bae7e84
hex1c553080

475345024 has 128 divisors (see below), whose sum is σ = 1250536320. Its totient is φ = 174243840.

The previous prime is 475344997. The next prime is 475345027. The reversal of 475345024 is 420543574.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (475345027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166134 + ... + 168970.

It is an arithmetic number, because the mean of its divisors is an integer number (9769815).

Almost surely, 2475345024 is an apocalyptic number.

475345024 is a gapful number since it is divisible by the number (44) 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 475345024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625268160).

475345024 is an abundant number, since it is smaller than the sum of its proper divisors (775191296).

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

475345024 is a wasteful number, since it uses less digits than its factorization.

475345024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 34.

The square root of 475345024 is about 21802.4086742727. The cubic root of 475345024 is about 780.4342442849.

Adding to 475345024 its reverse (420543574), we get a palindrome (895888598).

The spelling of 475345024 in words is "four hundred seventy-five million, three hundred forty-five thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 64 68 77 88 112 119 128 136 154 176 187 224 238 272 308 352 374 448 476 544 616 704 748 896 952 1088 1232 1309 1408 1496 1904 2176 2464 2618 2837 2992 3808 4928 5236 5674 5984 7616 9856 10472 11348 11968 15232 19859 20944 22696 23936 31207 39718 41888 45392 48229 62414 79436 83776 90784 96458 124828 158872 167552 181568 192916 218449 249656 317744 337603 363136 385832 436898 499312 530519 635488 675206 771664 873796 998624 1061038 1270976 1350412 1543328 1747592 1997248 2122076 2541952 2700824 3086656 3495184 3713633 3994496 4244152 5401648 6173312 6990368 7427266 8488304 10803296 13980736 14854532 16976608 21606592 27961472 29709064 33953216 43213184 59418128 67906432 118836256 237672512 475345024