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423690288 = 24371279929
BaseRepresentation
bin11001010000010…
…000000000110000
31002112020200210220
4121100100000300
51331431042123
6110013053040
713333210440
oct3120200060
91075220726
10423690288
111a818686a
12b9a87180
1369a17618
14403b0120
15272e2ce3
hex19410030

423690288 has 80 divisors (see below), whose sum is σ = 1260871680. Its totient is φ = 120089088.

The previous prime is 423690271. The next prime is 423690307. The reversal of 423690288 is 882096324.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37708 + ... + 47636.

It is an arithmetic number, because the mean of its divisors is an integer number (15760896).

Almost surely, 2423690288 is an apocalyptic number.

423690288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423690288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630435840).

423690288 is an abundant number, since it is smaller than the sum of its proper divisors (837181392).

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

423690288 is a wasteful number, since it uses less digits than its factorization.

423690288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10074 (or 10068 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 423690288 is about 20583.7384359596. The cubic root of 423690288 is about 751.0741869841.

The spelling of 423690288 in words is "four hundred twenty-three million, six hundred ninety thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 127 168 254 336 381 508 762 889 1016 1524 1778 2032 2667 3048 3556 5334 6096 7112 9929 10668 14224 19858 21336 29787 39716 42672 59574 69503 79432 119148 139006 158864 208509 238296 278012 417018 476592 556024 834036 1112048 1260983 1668072 2521966 3336144 3782949 5043932 7565898 8826881 10087864 15131796 17653762 20175728 26480643 30263592 35307524 52961286 60527184 70615048 105922572 141230096 211845144 423690288