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475757412 = 22313291031021
BaseRepresentation
bin11100010110110…
…111101101100100
31020011012222110220
4130112313231210
51433243214122
6115113044340
714534604564
oct3426675544
91204188426
10475757412
11224609649
121133b66b0
1377747880
1447284da4
152bb7a25c
hex1c5b7b64

475757412 has 96 divisors (see below), whose sum is σ = 1249946880. Its totient is φ = 139829760.

The previous prime is 475757407. The next prime is 475757431. The reversal of 475757412 is 214757574.

It is a super-4 number, since 4×4757574124 (a number of 36 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 465462 + ... + 466482.

It is an arithmetic number, because the mean of its divisors is an integer number (13020280).

Almost surely, 2475757412 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 475757412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624973440).

475757412 is an abundant number, since it is smaller than the sum of its proper divisors (774189468).

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

475757412 is a wasteful number, since it uses less digits than its factorization.

475757412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1171 counting only the distinct ones).

The product of its digits is 274400, while the sum is 42.

The square root of 475757412 is about 21811.8640193817. The cubic root of 475757412 is about 780.6598689532.

The spelling of 475757412 in words is "four hundred seventy-five million, seven hundred fifty-seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 103 116 156 174 206 309 348 377 412 618 754 1021 1131 1236 1339 1508 2042 2262 2678 2987 3063 4017 4084 4524 5356 5974 6126 8034 8961 11948 12252 13273 16068 17922 26546 29609 35844 38831 39819 53092 59218 77662 79638 88827 105163 116493 118436 155324 159276 177654 210326 232986 315489 355308 384917 420652 465972 630978 769834 1154751 1261956 1367119 1539668 2309502 2734238 3049727 4101357 4619004 5468476 6099454 8202714 9149181 12198908 16405428 18298362 36596724 39646451 79292902 118939353 158585804 237878706 475757412