Search a number
-
+
475410096 = 2432719103241
BaseRepresentation
bin11100010101100…
…010111010110000
31020010120100001100
4130111202322300
51433201110341
6115101404400
714531630160
oct3425427260
91203510040
10475410096
112243a1707
12113269700
1377655765
14471d45a0
152bb0c3b6
hex1c562eb0

475410096 has 240 divisors, whose sum is σ = 1622832640. Its totient is φ = 126904320.

The previous prime is 475410041. The next prime is 475410101. The reversal of 475410096 is 690014574.

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

It is a self number, because there is not a number n which added to its sum of digits gives 475410096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1972536 + ... + 1972776.

Almost surely, 2475410096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475410096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811416320).

475410096 is an abundant number, since it is smaller than the sum of its proper divisors (1147422544).

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

475410096 is a wasteful number, since it uses less digits than its factorization.

475410096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 475410096 is about 21803.9009353831. The cubic root of 475410096 is about 780.4698549798.

The spelling of 475410096 in words is "four hundred seventy-five million, four hundred ten thousand, ninety-six".