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416246028 = 2231119716007
BaseRepresentation
bin11000110011110…
…110100100001100
31002000020111012120
4120303312210030
51323024333103
6105145332540
713213014162
oct3063664414
91060214176
10416246028
111a3a61890
12b7497150
136830c133
143d3d3232
1526822253
hex18cf690c

416246028 has 48 divisors (see below), whose sum is σ = 1064980224. Its totient is φ = 125487040.

The previous prime is 416246011. The next prime is 416246029. The reversal of 416246028 is 820642614.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 416246028.

It is not an unprimeable number, because it can be changed into a prime (416246029) 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, 18001 + ... + 34007.

It is an arithmetic number, because the mean of its divisors is an integer number (22187088).

Almost surely, 2416246028 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 416246028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532490112).

416246028 is an abundant number, since it is smaller than the sum of its proper divisors (648734196).

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

416246028 is a wasteful number, since it uses less digits than its factorization.

416246028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16222 (or 16220 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 416246028 is about 20402.1084204550. The cubic root of 416246028 is about 746.6493661843.

The spelling of 416246028 in words is "four hundred sixteen million, two hundred forty-six thousand, twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 197 394 591 788 1182 2167 2364 4334 6501 8668 13002 16007 26004 32014 48021 64028 96042 176077 192084 352154 528231 704308 1056462 2112924 3153379 6306758 9460137 12613516 18920274 34687169 37840548 69374338 104061507 138748676 208123014 416246028