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475214432 = 25711289197
BaseRepresentation
bin11100010100110…
…011001001100000
31020010012101122112
4130110303021200
51433123330212
6115053254452
714530153550
oct3424631140
91203171575
10475214432
11224278700
12113194428
13775b7694
1447183160
152babe422
hex1c533260

475214432 has 144 divisors (see below), whose sum is σ = 1194510240. Its totient is φ = 182138880.

The previous prime is 475214423. The next prime is 475214471. The reversal of 475214432 is 234412574.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2412158 + ... + 2412354.

It is an arithmetic number, because the mean of its divisors is an integer number (8295210).

Almost surely, 2475214432 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 475214432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597255120).

475214432 is an abundant number, since it is smaller than the sum of its proper divisors (719295808).

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

475214432 is a wasteful number, since it uses less digits than its factorization.

475214432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 306 counting only the distinct ones).

The product of its digits is 26880, while the sum is 32.

The square root of 475214432 is about 21799.4135700940. The cubic root of 475214432 is about 780.3627679196.

The spelling of 475214432 in words is "four hundred seventy-five million, two hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 89 112 121 154 176 178 197 224 242 308 352 356 394 484 616 623 712 788 847 968 979 1232 1246 1379 1424 1576 1694 1936 1958 2167 2464 2492 2758 2848 3152 3388 3872 3916 4334 4984 5516 6304 6776 6853 7832 8668 9968 10769 11032 13552 13706 15169 15664 17336 17533 19936 21538 22064 23837 27104 27412 30338 31328 34672 35066 43076 44128 47674 54824 60676 69344 70132 75383 86152 95348 109648 121352 122731 140264 150766 166859 172304 190696 192863 219296 242704 245462 280528 301532 333718 344608 381392 385726 485408 490924 561056 603064 667436 762784 771452 981848 1206128 1334872 1350041 1542904 1963696 2121493 2412256 2669744 2700082 3085808 3927392 4242986 5339488 5400164 6171616 8485972 10800328 14850451 16971944 21600656 29700902 33943888 43201312 59401804 67887776 118803608 237607216 475214432