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475370064 = 243213253937
BaseRepresentation
bin11100010101011…
…001001001010000
31020010111022010200
4130111121021100
51433143320224
6115100455200
714531402361
oct3425311120
91203438120
10475370064
11224374624
1211324a500
1377640480
14471c3b68
152bb005c9
hex1c559250

475370064 has 60 divisors (see below), whose sum is σ = 1432718196. Its totient is φ = 146267136.

The previous prime is 475370053. The next prime is 475370069. The reversal of 475370064 is 460073574.

It can be written as a sum of positive squares in 2 ways, for example, as 247118400 + 228251664 = 15720^2 + 15108^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475370069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125097 + ... + 128840.

Almost surely, 2475370064 is an apocalyptic number.

It is an amenable number.

475370064 is an abundant number, since it is smaller than the sum of its proper divisors (957348132).

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

475370064 is a wasteful number, since it uses less digits than its factorization.

475370064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253964 (or 253955 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 475370064 is about 21802.9829151885. The cubic root of 475370064 is about 780.4479478261.

The spelling of 475370064 in words is "four hundred seventy-five million, three hundred seventy thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 253937 507874 761811 1015748 1523622 2031496 2285433 3047244 3301181 4062992 4570866 6094488 6602362 9141732 9903543 12188976 13204724 18283464 19807086 26409448 29710629 36566928 39614172 52818896 59421258 79228344 118842516 158456688 237685032 475370064