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419243072 = 2671257359
BaseRepresentation
bin11000111111010…
…010010001000000
31002012212202101012
4120333102101000
51324311234242
6105333500052
713250336003
oct3077222100
91065782335
10419243072
111a5719586
12b84a1628
1368b1b331
143d97353a
1526c15282
hex18fd2440

419243072 has 56 divisors (see below), whose sum is σ = 849294720. Its totient is φ = 205291520.

The previous prime is 419243059. The next prime is 419243089. The reversal of 419243072 is 270342914.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1167629 + ... + 1167987.

Almost surely, 2419243072 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 419243072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424647360).

419243072 is an abundant number, since it is smaller than the sum of its proper divisors (430051648).

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

419243072 is a wasteful number, since it uses less digits than its factorization.

419243072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 419243072 is about 20475.4260517333. The cubic root of 419243072 is about 748.4370842846.

Adding to 419243072 its reverse (270342914), we get a palindrome (689585986).

The spelling of 419243072 in words is "four hundred nineteen million, two hundred forty-three thousand, seventy-two".

Divisors: 1 2 4 8 16 32 64 71 142 257 284 359 514 568 718 1028 1136 1436 2056 2272 2872 4112 4544 5744 8224 11488 16448 18247 22976 25489 36494 50978 72988 92263 101956 145976 184526 203912 291952 369052 407824 583904 738104 815648 1167808 1476208 1631296 2952416 5904832 6550673 13101346 26202692 52405384 104810768 209621536 419243072