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424355520 = 26352319219
BaseRepresentation
bin11001010010110…
…010011011000000
31002120111111100010
4121102302123000
51332113334040
6110035224520
713341651051
oct3122623300
91076444303
10424355520
111a85a0646
12ba148140
1369bbb354
1440504728
15273c4e80
hex194b26c0

424355520 has 112 divisors (see below), whose sum is σ = 1405981440. Its totient is φ = 108235776.

The previous prime is 424355509. The next prime is 424355563. The reversal of 424355520 is 25553424.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 12471 + ... + 31689.

Almost surely, 2424355520 is an apocalyptic number.

424355520 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 424355520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702990720).

424355520 is an abundant number, since it is smaller than the sum of its proper divisors (981625920).

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

424355520 is a wasteful number, since it uses less digits than its factorization.

424355520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19262 (or 19252 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 424355520 is about 20599.8912618489. The cubic root of 424355520 is about 751.4670661957.

The spelling of 424355520 in words is "four hundred twenty-four million, three hundred fifty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 230 240 276 320 345 368 460 480 552 690 736 920 960 1104 1380 1472 1840 2208 2760 3680 4416 5520 7360 11040 19219 22080 38438 57657 76876 96095 115314 153752 192190 230628 288285 307504 384380 442037 461256 576570 615008 768760 884074 922512 1153140 1230016 1326111 1537520 1768148 1845024 2210185 2306280 2652222 3075040 3536296 3690048 4420370 4612560 5304444 6150080 6630555 7072592 8840740 9225120 10608888 13261110 14145184 17681480 18450240 21217776 26522220 28290368 35362960 42435552 53044440 70725920 84871104 106088880 141451840 212177760 424355520