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475062768 = 243223314159
BaseRepresentation
bin11100010100001…
…110000111110000
31020002220200121100
4130110032013300
51433104002033
6115050124400
714525652435
oct3424160760
91202820540
10475062768
11224184764
12113120700
137756363b
1447143b8c
152ba8e513
hex1c50e1f0

475062768 has 60 divisors (see below), whose sum is σ = 1335316320. Its totient is φ = 157663488.

The previous prime is 475062751. The next prime is 475062781. The reversal of 475062768 is 867260574.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26473 + ... + 40631.

It is an arithmetic number, because the mean of its divisors is an integer number (22255272).

Almost surely, 2475062768 is an apocalyptic number.

475062768 is a gapful number since it is divisible by the number (48) 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 475062768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667658160).

475062768 is an abundant number, since it is smaller than the sum of its proper divisors (860253552).

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

475062768 is a wasteful number, since it uses less digits than its factorization.

475062768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14406 (or 14397 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 475062768 is about 21795.9346668134. The cubic root of 475062768 is about 780.2797418695.

The spelling of 475062768 in words is "four hundred seventy-five million, sixty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 233 466 699 932 1398 1864 2097 2796 3728 4194 5592 8388 11184 14159 16776 28318 33552 42477 56636 84954 113272 127431 169908 226544 254862 339816 509724 679632 1019448 2038896 3299047 6598094 9897141 13196188 19794282 26392376 29691423 39588564 52784752 59382846 79177128 118765692 158354256 237531384 475062768