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475206440 = 235173122543
BaseRepresentation
bin11100010100110…
…001001100101000
31020010011222200112
4130110301030220
51433123101230
6115053153452
714530121342
oct3424611450
91203158615
10475206440
112242726a5
1211318b888
13775b3b57
1447180292
152babbd95
hex1c531328

475206440 has 64 divisors (see below), whose sum is σ = 1168680960. Its totient is φ = 173122560.

The previous prime is 475206419. The next prime is 475206449. The reversal of 475206440 is 44602574.

It is a junction number, because it is equal to n+sod(n) for n = 475206397 and 475206406.

It is not an unprimeable number, because it can be changed into a prime (475206449) 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, 9809 + ... + 32351.

It is an arithmetic number, because the mean of its divisors is an integer number (18260640).

Almost surely, 2475206440 is an apocalyptic number.

475206440 is a gapful number since it is divisible by the number (40) 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 475206440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584340480).

475206440 is an abundant number, since it is smaller than the sum of its proper divisors (693474520).

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

475206440 is a wasteful number, since it uses less digits than its factorization.

475206440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22602 (or 22598 counting only the distinct ones).

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

The square root of 475206440 is about 21799.2302616400. The cubic root of 475206440 is about 780.3583932670.

The spelling of 475206440 in words is "four hundred seventy-five million, two hundred six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 31 34 40 62 68 85 124 136 155 170 248 310 340 527 620 680 1054 1240 2108 2635 4216 5270 10540 21080 22543 45086 90172 112715 180344 225430 383231 450860 698833 766462 901720 1397666 1532924 1916155 2795332 3065848 3494165 3832310 5590664 6988330 7664620 11880161 13976660 15329240 23760322 27953320 47520644 59400805 95041288 118801610 237603220 475206440