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424152540 = 2232573110859
BaseRepresentation
bin11001010010000…
…000110111011100
31002120010011220100
4121102000313130
51332040340130
6110031021100
713340144220
oct3122006734
91076104810
10424152540
111a8472099
12ba06a790
1369b49b46
1440490780
1527384c60
hex19480ddc

424152540 has 144 divisors (see below), whose sum is σ = 1517967360. Its totient is φ = 93813120.

The previous prime is 424152527. The next prime is 424152611. The reversal of 424152540 is 45251424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33631 + ... + 44489.

It is an arithmetic number, because the mean of its divisors is an integer number (10541440).

Almost surely, 2424152540 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 424152540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758983680).

424152540 is an abundant number, since it is smaller than the sum of its proper divisors (1093814820).

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

424152540 is a wasteful number, since it uses less digits than its factorization.

424152540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10912 (or 10907 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 424152540 is about 20594.9639475285. The cubic root of 424152540 is about 751.3472318394.

The spelling of 424152540 in words is "four hundred twenty-four million, one hundred fifty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 31 35 36 42 45 60 62 63 70 84 90 93 105 124 126 140 155 180 186 210 217 252 279 310 315 372 420 434 465 558 620 630 651 868 930 1085 1116 1260 1302 1395 1860 1953 2170 2604 2790 3255 3906 4340 5580 6510 7812 9765 10859 13020 19530 21718 32577 39060 43436 54295 65154 76013 97731 108590 130308 152026 162885 195462 217180 228039 304052 325770 336629 380065 390924 456078 488655 651540 673258 684117 760130 912156 977310 1009887 1140195 1346516 1368234 1520260 1683145 1954620 2019774 2280390 2356403 2736468 3029661 3366290 3420585 4039548 4560780 4712806 5049435 6059322 6732580 6841170 7069209 9425612 10098870 11782015 12118644 13682340 14138418 15148305 20197740 21207627 23564030 28276836 30296610 35346045 42415254 47128060 60593220 70692090 84830508 106038135 141384180 212076270 424152540