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422407104 = 2637467673
BaseRepresentation
bin11001001011010…
…110101111000000
31002102211111121120
4121023112233000
51331114011404
6105525352240
713316254410
oct3113265700
91072744546
10422407104
111a748a789
12b9568680
1369688542
1440158640
152713c9d9
hex192d6bc0

422407104 has 112 divisors (see below), whose sum is σ = 1281915648. Its totient is φ = 120250368.

The previous prime is 422407081. The next prime is 422407123. The reversal of 422407104 is 401704224.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 627312 + ... + 627984.

Almost surely, 2422407104 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 422407104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640957824).

422407104 is an abundant number, since it is smaller than the sum of its proper divisors (859508544).

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

422407104 is a wasteful number, since it uses less digits than its factorization.

422407104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 422407104 is about 20552.5449519032. The cubic root of 422407104 is about 750.3151884120.

The spelling of 422407104 in words is "four hundred twenty-two million, four hundred seven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 467 672 673 934 1344 1346 1401 1868 2019 2692 2802 3269 3736 4038 4711 5384 5604 6538 7472 8076 9422 9807 10768 11208 13076 14133 14944 16152 18844 19614 21536 22416 26152 28266 29888 32304 37688 39228 43072 44832 52304 56532 64608 75376 78456 89664 104608 113064 129216 150752 156912 209216 226128 301504 313824 314291 452256 627648 628582 904512 942873 1257164 1885746 2200037 2514328 3771492 4400074 5028656 6600111 7542984 8800148 10057312 13200222 15085968 17600296 20114624 26400444 30171936 35200592 52800888 60343872 70401184 105601776 140802368 211203552 422407104