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424672440 = 233515722541
BaseRepresentation
bin11001010011111…
…111110010111000
31002121002121001220
4121103333302320
51332204004230
6110050112040
713344441033
oct3123776270
91077077056
10424672440
111a8797765
12ba27b620
1369c9c68a
144058801a
1527438d10
hex194ffcb8

424672440 has 64 divisors (see below), whose sum is σ = 1282188960. Its totient is φ = 112519680.

The previous prime is 424672403. The next prime is 424672481. The reversal of 424672440 is 44276424.

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, 7570 + ... + 30110.

Almost surely, 2424672440 is an apocalyptic number.

424672440 is a gapful number since it is divisible by the number (40) 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 424672440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641094480).

424672440 is an abundant number, since it is smaller than the sum of its proper divisors (857516520).

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

424672440 is a wasteful number, since it uses less digits than its factorization.

424672440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22712 (or 22708 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 33.

The square root of 424672440 is about 20607.5820998001. The cubic root of 424672440 is about 751.6540915154.

The spelling of 424672440 in words is "four hundred twenty-four million, six hundred seventy-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 157 314 471 628 785 942 1256 1570 1884 2355 3140 3768 4710 6280 9420 18840 22541 45082 67623 90164 112705 135246 180328 225410 270492 338115 450820 540984 676230 901640 1352460 2704920 3538937 7077874 10616811 14155748 17694685 21233622 28311496 35389370 42467244 53084055 70778740 84934488 106168110 141557480 212336220 424672440