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417247428 = 2231315117713
BaseRepresentation
bin11000110111101…
…011000011000100
31002002010100212110
4120313223003010
51323303404203
6105223021020
713224354543
oct3067530304
91062110773
10417247428
111a4586194
12b789a770
136859cb90
143d5b415a
152696dd03
hex18deb0c4

417247428 has 48 divisors (see below), whose sum is σ = 1055470976. Its totient is φ = 127526400.

The previous prime is 417247423. The next prime is 417247459. The reversal of 417247428 is 824742714.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (417247421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14700 + ... + 32412.

Almost surely, 2417247428 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 417247428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527735488).

417247428 is an abundant number, since it is smaller than the sum of its proper divisors (638223548).

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

417247428 is a wasteful number, since it uses less digits than its factorization.

417247428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17884 (or 17882 counting only the distinct ones).

The product of its digits is 100352, while the sum is 39.

The square root of 417247428 is about 20426.6352588967. The cubic root of 417247428 is about 747.2476468698.

The spelling of 417247428 in words is "four hundred seventeen million, two hundred forty-seven thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 151 156 302 453 604 906 1812 1963 3926 5889 7852 11778 17713 23556 35426 53139 70852 106278 212556 230269 460538 690807 921076 1381614 2674663 2763228 5349326 8023989 10698652 16047978 32095956 34770619 69541238 104311857 139082476 208623714 417247428