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423111872 = 2637197907
BaseRepresentation
bin11001001110000…
…010110011000000
31002111011022101002
4121032002303000
51331304034442
6105552431132
713325251211
oct3116026300
91074138332
10423111872
111a7921237
12b98484a8
1369874271
144029d408
152722b732
hex19382cc0

423111872 has 56 divisors (see below), whose sum is σ = 867637584. Its totient is φ = 204567552.

The previous prime is 423111863. The next prime is 423111877. The reversal of 423111872 is 278111324.

It is not an unprimeable number, because it can be changed into a prime (423111877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 466043 + ... + 466949.

Almost surely, 2423111872 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 423111872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433818792).

423111872 is an abundant number, since it is smaller than the sum of its proper divisors (444525712).

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

423111872 is a wasteful number, since it uses less digits than its factorization.

423111872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1143 counting only the distinct ones).

The product of its digits is 2688, while the sum is 29.

The square root of 423111872 is about 20569.6833227933. The cubic root of 423111872 is about 750.7322460402.

It can be divided in two parts, 423 and 111872, that multiplied together give a triangular number (47321856 = T9728).

The spelling of 423111872 in words is "four hundred twenty-three million, one hundred eleven thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 32 37 64 74 148 197 296 394 592 788 907 1184 1576 1814 2368 3152 3628 6304 7256 7289 12608 14512 14578 29024 29156 33559 58048 58312 67118 116624 134236 178679 233248 268472 357358 466496 536944 714716 1073888 1429432 2147776 2858864 5717728 6611123 11435456 13222246 26444492 52888984 105777968 211555936 423111872