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419459490 = 232547531871
BaseRepresentation
bin11001000000000…
…111000110100010
31002020021202020200
4121000013012202
51324340200430
6105342250030
713252226652
oct3100070642
91066252220
10419459490
111a585713a
12b8586916
1368b959a8
143d9cc362
1526c59460
hex190071a2

419459490 has 96 divisors (see below), whose sum is σ = 1135420416. Its totient is φ = 107352960.

The previous prime is 419459483. The next prime is 419459587. The reversal of 419459490 is 94954914.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223255 + ... + 225125.

It is an arithmetic number, because the mean of its divisors is an integer number (11827296).

Almost surely, 2419459490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419459490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567710208).

419459490 is an abundant number, since it is smaller than the sum of its proper divisors (715960926).

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

419459490 is a wasteful number, since it uses less digits than its factorization.

419459490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 419459490 is about 20480.7101927643. The cubic root of 419459490 is about 748.5658460178.

The spelling of 419459490 in words is "four hundred nineteen million, four hundred fifty-nine thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 53 90 94 106 141 159 235 265 282 318 423 470 477 530 705 795 846 954 1410 1590 1871 2115 2385 2491 3742 4230 4770 4982 5613 7473 9355 11226 12455 14946 16839 18710 22419 24910 28065 33678 37365 44838 56130 74730 84195 87937 99163 112095 168390 175874 198326 224190 263811 297489 439685 495815 527622 594978 791433 879370 892467 991630 1319055 1487445 1582866 1784934 2638110 2974890 3957165 4462335 4660661 7914330 8924670 9321322 13981983 23303305 27963966 41945949 46606610 69909915 83891898 139819830 209729745 419459490