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416623420 = 225176718289
BaseRepresentation
bin11000110101010…
…010101100111100
31002000221122220001
4120311102230330
51323123422140
6105201404044
713216145353
oct3065225474
91060848801
10416623420
111a419a384
12b7639624
1368411b45
143d49099a
1526898e9a
hex18d52b3c

416623420 has 48 divisors (see below), whose sum is σ = 940252320. Its totient is φ = 154497024.

The previous prime is 416623399. The next prime is 416623423. The reversal of 416623420 is 24326614.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416623423) 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, 13636 + ... + 31924.

It is an arithmetic number, because the mean of its divisors is an integer number (19588590).

Almost surely, 2416623420 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 416623420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470126160).

416623420 is an abundant number, since it is smaller than the sum of its proper divisors (523628900).

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

416623420 is a wasteful number, since it uses less digits than its factorization.

416623420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18382 (or 18380 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 416623420 is about 20411.3551730403. The cubic root of 416623420 is about 746.8749494232.

The spelling of 416623420 in words is "four hundred sixteen million, six hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 67 68 85 134 170 268 335 340 670 1139 1340 2278 4556 5695 11390 18289 22780 36578 73156 91445 182890 310913 365780 621826 1225363 1243652 1554565 2450726 3109130 4901452 6126815 6218260 12253630 20831171 24507260 41662342 83324684 104155855 208311710 416623420