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475148480 = 26510713877
BaseRepresentation
bin11100010100100…
…011000011000000
31020010002001011212
4130110203003000
51433114222410
6115052025252
714526460352
oct3424430300
91203061155
10475148480
112242330a4
12113162228
1377593661
14471670d2
152baa9b05
hex1c5230c0

475148480 has 56 divisors (see below), whose sum is σ = 1142103888. Its totient is φ = 188269568.

The previous prime is 475148477. The next prime is 475148489. The reversal of 475148480 is 84841574.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (475148489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27302 + ... + 41178.

Almost surely, 2475148480 is an apocalyptic number.

475148480 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 475148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571051944).

475148480 is an abundant number, since it is smaller than the sum of its proper divisors (666955408).

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

475148480 is a wasteful number, since it uses less digits than its factorization.

475148480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14001 (or 13991 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 41.

The square root of 475148480 is about 21797.9008163630. The cubic root of 475148480 is about 780.3266657148.

The spelling of 475148480 in words is "four hundred seventy-five million, one hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 107 160 214 320 428 535 856 1070 1712 2140 3424 4280 6848 8560 13877 17120 27754 34240 55508 69385 111016 138770 222032 277540 444064 555080 888128 1110160 1484839 2220320 2969678 4440640 5939356 7424195 11878712 14848390 23757424 29696780 47514848 59393560 95029696 118787120 237574240 475148480