Search a number
-
+
475364010 = 235112116827
BaseRepresentation
bin11100010101010…
…111101010101010
31020010110222211110
4130111113222222
51433143122020
6115100411150
714531345622
oct3425275252
91203428743
10475364010
11224370020
12113246ab6
137763a7a4
14471c1882
152baed8e0
hex1c557aaa

475364010 has 64 divisors (see below), whose sum is σ = 1250671104. Its totient is φ = 114676800.

The previous prime is 475364009. The next prime is 475364017. The reversal of 475364010 is 10463574.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (475364017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66217 + ... + 73043.

It is an arithmetic number, because the mean of its divisors is an integer number (19541736).

Almost surely, 2475364010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475364010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625335552).

475364010 is an abundant number, since it is smaller than the sum of its proper divisors (775307094).

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

475364010 is a wasteful number, since it uses less digits than its factorization.

475364010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7059.

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 475364010 is about 21802.8440805322. The cubic root of 475364010 is about 780.4446347217. Note that the first 3 decimals are identical.

The spelling of 475364010 in words is "four hundred seventy-five million, three hundred sixty-four thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 211 330 422 633 1055 1266 2110 2321 3165 4642 6330 6827 6963 11605 13654 13926 20481 23210 34135 34815 40962 68270 69630 75097 102405 150194 204810 225291 375485 450582 750970 1126455 1440497 2252910 2880994 4321491 7202485 8642982 14404970 15845467 21607455 31690934 43214910 47536401 79227335 95072802 158454670 237682005 475364010